This video shows the Top 20 countries with highest GDP PPP from 1800 to 2040 based on 2011 international dollars. It gives a brief history of the world since the 1800s. China and India were ahead before the 1900s while the US started leading after the 20th century.

Purchasing power parity (PPP) is a neoclassical economic theory that states that the exchange rate between two countries is equal to the ratio of the currencies’ respective purchasing power.

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Source:
The Angus Maddison Project & World Bank

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Top 20 Country GDP (PPP) History & Projection (1800-2040)