Two spherical stars with masses \(M_1\) and \(M_2\) are separated by a center-to-center distance \(R\). The magnitude of the gravitational force exerted by star 1 on star 2 is \(F_0\). A second system of two stars is observed where the first star has mass \(M_1\), the second star has mass \(\frac{1}{2}M_2\), and the distance between their centers is \(2R\). What is the magnitude of the gravitational force in the second system in terms of \(F_0\)?