We shall give a norm inequality equivalent to the grand Furuta inequality, and moreover show its reverse as follows: Let A and B be positiveoperators such that 0 < m £B £ M for some scalars 0 < m < M andh := M/m > 1. Then||A1/2 {A_t/2 (A -r/2B (r-t){(p-t)a+r/1-t+rAr/2}1/a A-t/2}1/PA1/2 || £ K(hr-t , (p-t) s+r/1-t+r) 1/ps || A 1-t+r/2 B r-t A 1-t+r/2 || (p-t)a+r/pa (1-t+r) for 0 £ t £ 1, p ³ 1, s ³1 and r ³ t ³0, where K(h, p) is the generalized Kantorovich constant. As applications, we consider reverses related to the Ando-Hiai inequality.