Step 1: The universe is governed by four fundamental interactions: gravitational, electromagnetic, strong nuclear, and weak nuclear forces. Each has a specific range and role in physical phenomena.
Step 2: Strong nuclear force acts only inside the nucleus at distances of the order of $10^{-15}$ m and binds protons and neutrons. It cannot operate at macroscopic or astronomical scales.
Step 3: Weak nuclear force is responsible for radioactive decay processes and also operates at subatomic distances only. It has an extremely short range and is irrelevant for large-scale structures.
Step 4: Electromagnetic force acts between charged particles. However, at large scales, most objects are electrically neutral, so positive and negative charges cancel out, making the net electromagnetic effect negligible at cosmic scale.
Step 5: Gravitational force is always attractive, acts on all masses, has infinite range, and does not cancel out. Therefore, it dominates interactions between planets, stars, galaxies, and clusters.
Hence, gravitational force is the dominant force at large-scale structure of the universe.