For example, lets say some banks got together and defined a meta-currency called Euro-Dollars, which is a mixture of 55% Euros and 45% USD. I could take out a loan in Euro-Dollars from a bank. I could buy and sell goods internationally in Euro-Dollars. I could hold my personal savings in Euro-Dollars. I could buy on Ebay, Amazon and Alibaba with Euro-Dollars because the sellers know that it's a good idea to diversify their currency holdings, they can buy other goods and services with Euro-Dollars and currency trading is relatively frictionless.
Or, perhaps, we could go further and create a currency that's a mix of the top 10 most traded in some suitable ratio. Rather like an index fund, wouldn't this insulate from the relative fluctuations of the individual economies and help facilitate international trade?
On another note, this would help insulate individuals from currency fluctuations in a global economy. I happen to be in Australia and my personal accounts are in AUD. Since 2011 AUD has dropped about 40% relative to USD. If I now want to buy something from a company in the US, I am 40% poorer. If my money had been split into a mix of major currencies, I would be in much the same position whether I now wanted to buy domestic or international goods. Some banks offer multi-currency accounts for personal use, but it's far from the norm. Wouldn't it make more sense if my bank automatically diversified my currency holdings to insulate me from international fluctuations?