In this study, the most appropriate Hamiltoni an has been determined, that is needed for the present calculations of energy levels and B(E2) values of even-even Ba, Ce, Nd nuclei using the Interacting Boson Model (IBM-1). The results have been compared with a recent experimental data, it was observed that they are in good agreement. Also, the branching ratios (R, R' and R'') have been calculated and the importance of studying the branching ratios is to locate the position of the isotopes relative to the dynamical symmetries U(5), SU(3) and O(6). The results of the present study have showed that the isotopes under investigation lies in the different transition regions, the results appear that Ba isotone lies in the transition region SU(3)-O(6) and the Ce, Gd, Dy isotones lies in the transition region of O(6)-U(5) and the Nd, Sm isotones lies in U(5) limit.