To the second point, Reinhart and Rogoff had, to a first approximation, zero actual effect on policy.
There are, to a first approximation, zero healthy adoptable babies in the US foster care system.
Finally, the former president is home, back in civilian life—or at some approximation of it.
approximation ap·prox·i·ma·tion (ə-prŏk'sə-mā'shən)
Bringing tissue edges into desired apposition for suturing.