In physics and in Nature, there exits prominent and important particles, such as the Proton, electron, and less stable Pions, Kaons, Muons, and about a dozen others. And even more minor particles with very short lives. This Article mainly addresses the 3 largest mass particles, the Higgs, the W, and the Z boson particles. And I think it largely explains “why they have the particular masses they do.” My previous articles did that for the case of lower-mass prominent particles. Links provided below. I do this by our first noting the Mass Ratios of particles, i.e., their masses compared to basic electron, such as the “Proton to electron mass ratio, 1836.15 to 1.” And then by noting nearly matching Geometric volume Ratios arising when one or more large spheres are close-packed around, or surround, one or more small spheres – in the most simple, symmetrical pattern arrays. I.e., as sometimes seen in high-school geometry. And I comment on other matters relating to this article.