Do identical, equally spaced lenses possess the same magnification, or does it depend on the sample's distance?

I am going over old homework where an exercise is questioned as follows:

There are 4 identical and equally spaced lenses between the sample and the camera. The distance from the first to the last lens is 70cm. Find their individual magnifications to achieve a magnification of $10^6$.

Do identical, equally spaced lenses always have the same magnification, or does it depend on the sample’s distance to the first lens?

I understand that when there is more than one lense, the total magnification is the product of the magnification values for each lense, meaning $M_{total}= M_1 M_2 …M_n$ .
This instinctively makes me think that, because they are identical, the magnification of each of these lenses must be $(10^6)^{1/4} =10 sqrt{10} approx 31.62$

But something tells me that the distance from the sample to the first lens would affect that same lens’ focal point and therefore influence the magnitude of the second lens and so on, and so on…

Why is this last statement not correct?