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Finding the Fourth Proportional to 509,304,872.70, 763,957,309.05 and 509,304,872.70

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Solution

The fourth proportional to 509,304,872.70, 763,957,309.05 and 509,304,872.70 is: 763,957,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,304,872.70 : 763,957,309.05 = 509,304,872.70 : x
  2. Step 2: Convert to fraction form
    509,304,872.70/763,957,309.05 = 509,304,872.70/x
  3. Step 3: Cross multiply
    509,304,872.70x = 763,957,309.05 × 509,304,872.70
  4. Step 4: Simplify right side
    509,304,872.70x = 389,087,180,033,944,768
  5. Step 5: Solve for x
    x = 389,087,180,033,944,768/509,304,872.70
  6. Step 6: Final answer
    x = 763,957,309.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.