Let $M$ be a smooth manifold, let $I \subset \mathbb{R}$ be an interval, and let $g: I \to \Gamma(S^2T^*M)$ be a Ricci flow, so that each $g(t)$ is a Riemannian metric on $M$ and $\partial_t g(t)=-2\operatorname{Ric}_{g(t)}$. Fix $t_0 \in I$ and $\lambda>0$, and define $I_\lambda := \{s \in \mathbb{R}: t_0+s/\lambda \in I\}$. If $g_\lambda: I_\lambda \to \Gamma(S^2T^*M)$ is defined by $g_\lambda(s)=\lambda g(t_0+s/\lambda)$, then $g_\lambda$ is a Ricci flow on $M$ over $I_\lambda$ and