In the present paper, maximization of repeater spacing has been investigated where multi-pumping Raman amplifier has been employed with equal pumping power and equal spacing pumping wavelength. The problem is cast into two coupled first order nonlinear differential equations taking into account both pump-pump interactions and signal-signal interactions along the fiber. These two equations are processed using simple but accurate software based on Runge-Kutta technique of the fourth order. The engagement of Raman amplifier and erbium doped fiber is processed. Wide gain of the amplifier is considered where two sets of a number of Raman pumps N_R {5,10} are investigated. Raman pumping wavelength l_R is over the range 1.42 £ l_R, mm £ 1.52 and the channel wavelength l_s is over the range 1.42 £ l_s, mm £ 1.72. Two multiplexing techniques are processed in long-haul transmission cables where a number of channels up to 3600 in ultra-wide wavelength division multiplexing (UW-WDM) and a number of links up to 360 are handled in ultra-wide space division multiplexing (UW-SDM). The problem is investigated over wide ranges of affecting sets of parameters.