Yeah but can the 'west' be able to retain that world economy title for the next 200 years? Looks like Asia will be the next trend setter (again) if things stay as it is. China was the first to cross the Indian ocean and their many inventions has many resonance to man kind in math, science, architecture, arts, poetry, engineer, and literature that helped and enable the "west" to progress and took the next step.
You deal with those who are most important for you to deal with now, and now that is the west. As to who you might need to deal with in another 200 years, that will sort itself out in time.