  Multidimensional cosmological models with factorizable geometry and their
dimensional reduction to effective four-dimensional theories are analyzed on
sensitivity to different scalings. It is shown that a non-correct gauging of
the effective four-dimensional gravitational constant within the dimensional
reduction results in a non-correct rescaling of the cosmological constant and
the gravexciton/radion masses. The relationship between the effective
gravitational constants of theories with different dimensions is discussed for
setups where the lower dimensional theory results via dimensional reduction
from the higher dimensional one and where the compactified space components
vary dynamically.
