This paper presents a multi-country version of the Ramsey growth model with cross-country technological interdependence. The results rationalize several stylized facts about growth and convergence. First, individual countries tend to converge toward country-specific balanced growth paths rather than steady-state equilibria. Second, an economy that accounts for a smaller share of the world technology distribution harnesses the “advantages of backwardness” to catch up at a faster speed. Third, countries grow at different rates during the phase of transitional dynamics. However, technological interdependence creates a force toward cross-country convergence in the growth rate and stability of world income distribution in the long run. Finally, cross-country differences in structural characteristics and initial conditions lead to divergences in the level of income per capita.