Two small spheres, Sphere 1 and Sphere 2, roll horizontally off the edges of two horizontal tabletops. Sphere 1 leaves a tabletop at height \(4H\) above the floor with an initial horizontal speed \(v_0\). Sphere 2 leaves a tabletop at height \(H\) above the floor with an initial horizontal speed \(2v_0\). Neglecting air resistance, what is the ratio of the horizontal distance traveled by Sphere 1 to the horizontal distance traveled by Sphere 2 between the moment they leave the tabletops and the moment they strike the floor, \(\dfrac{d_1}{d_2}\)?