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Finding the Fourth Proportional to 537,282,324.10, 804,579,793.35 and 429,786,900.10

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Solution

The fourth proportional to 537,282,324.10, 804,579,793.35 and 429,786,900.10 is: 643,605,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,282,324.10 : 804,579,793.35 = 429,786,900.10 : x
  2. Step 2: Convert to fraction form
    537,282,324.10/804,579,793.35 = 429,786,900.10/x
  3. Step 3: Cross multiply
    537,282,324.10x = 804,579,793.35 × 429,786,900.10
  4. Step 4: Simplify right side
    537,282,324.10x = 345,797,855,266,995,136
  5. Step 5: Solve for x
    x = 345,797,855,266,995,136/537,282,324.10
  6. Step 6: Final answer
    x = 643,605,493.34

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