How and when was a monetary system created to balance all nations financially?

There is no global organization that regulates how much money each nation can create.





There are regional organizations -- e.g., the European Union -- that regulate monetary policies for their own member states.





You may be thinking of the International Monetary Fund (IMF). It is an international organization of 185 member countries. It was established to promote international monetary cooperation, exchange stability, and orderly exchange arrangements; to foster economic growth and high levels of employment; and to provide temporary financial assistance to countries to help ease balance of payments adjustment. But it cannot dictate monetary policy to its members except under special circumstances (e.g., when a member state asks it for financial assistance it may require certain actions by that state as a condition for the assistance).





Otherwise, each sovereign state makes its own decisions.