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> The 1920's gilded age was fueled by fiat money, the greenback.

So-called fiat money didn't become a thing until after FDR became president, which was after 1932.

> Greenbacks … a form of fiat money

This was a wartime measure. The US went back to a hard money system soon after the civil war ended

I think at this point you should read a bit more about the antebellum period.