Step 1: Understanding the Concept:
The fundamental laws of chemical combination describe how elements combine stoichiometrically to form compounds.
Step 2: Key Formula or Approach:
Match the experimental observation (identical mass percentages of elements in a compound obtained from different sources) to the corresponding stoichiometric law.
Step 3: Detailed Explanation:
The Law of Definite Proportions (also known as the Law of Constant Composition), proposed by Joseph Proust, states that a given chemical compound always contains its component elements in a fixed ratio by mass, regardless of its source or method of preparation.
The provided data explicitly shows that both the natural sample and the synthetic sample of Cupric Carbonate have exactly the same percentage composition of Copper ($51.35%$), Carbon ($9.74%$), and Oxygen ($38.91%$). This perfectly illustrates and confirms the law.
Step 4: Final Answer:
The information supports the Law of Definite Proportions.