Poland never had analogous power. The Polish-Lithuania Commonwealth was a regional superpower in Europe. Its influence was nary felt beyond that. That cannot be said of American influence.
I think you are confusing influence with power. Poland did not look Westward whenever it mused expansion, and the world was a different place them. Militarily, Poland during the P-L Commonwealth was pretty much unbeatable. Even in financial terms, Poland's economy, during her golden age, was superior to that of countries such as France.
Or maybe you're talking per capita. Poland stands at roughly 17,000USD per capita. the US stands at roughly 47,000USD per capita. You're going to close that gap in twenty years?
I hope not.
An average working American's share of the national debt is around $80,000 (170% of income)
An average working Pole's share of the national debt is $12,000 (70% of income)