The term you're looking for here is 'exporting inflation' - a quick web search will give about a million hits. This takes many forms, but here are a couple of the most impactful ways we do it:
#1 - Being the largest consumer economy. The economy of many countries depends on exporting stuff to the US. Now imagine the US prints a lot of money so its currency becomes weaker, relative to yours. This is a real problem because it means Americans aren't able to afford as much of your country's stuff. And if there are other countries whose currency has not strengthened as much (relative to the dollar), then their stuff becomes even more desirable, relative to yours. But there's actually a simple and happy solution - print money. Devaluing your own currency not only fixes this problem by 'importing' US inflation, but it also gives you lots of money to spend as well. The only problem is ever-mounting debt, but hey - if modern economics is about anything, it's about kicking the can to the next generation!
#2 - Being the global reserve currency. Until extremely recently, if China and Russia were going to go trade some goods between each other, they'd have settled the balance in USD! And nearly all oil was sold in USD. As the USD weakens, this obligates these countries to start increasing their reserves of it to continue ensuring the same level of real liquidity. But this also has the side effect of taking more USD out of general circulation which drives the price of the USD up, which also simultaneously makes your own reserves worth even more!
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It's also for these sort of reasons that, for instance, China is accused of being a currency manipulator for weakening their currency. We kind of intuit "strong = good" but in international economics, that's definitely not the case. It depends on the exact composition of your economy, and your role in global trade. China thrives because of a weak currency. But for Japan this is not the case. They are, amongst other things, the world's largest single importer of both natural gas and food. So their currency weakening is likely to be very damaging for a country that's already been suffering economically for decades, and is only getting worse due to an increasing demographic collapse.