The average growth rate in the United States is about 2.9%, and real GDP per capita is about $47,400. The average growth rate in China is 8.5%, and real GDP per capita is about $7,400. The average growth rate in Kenya is less than 2%, and real GDP per capita is about $1,600. Is it possible that the per capita real GDPs of these countries will converge, given enough time? Briefly explain.