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Finding the Fourth Proportional to 524,500,634.82, 786,363,092.47 and 317,192,957.42

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Solution

The fourth proportional to 524,500,634.82, 786,363,092.47 and 317,192,957.42 is: 475,554,877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,500,634.82 : 786,363,092.47 = 317,192,957.42 : x
  2. Step 2: Convert to fraction form
    524,500,634.82/786,363,092.47 = 317,192,957.42/x
  3. Step 3: Cross multiply
    524,500,634.82x = 786,363,092.47 × 317,192,957.42
  4. Step 4: Simplify right side
    524,500,634.82x = 249,428,834,902,564,448
  5. Step 5: Solve for x
    x = 249,428,834,902,564,448/524,500,634.82
  6. Step 6: Final answer
    x = 475,554,877.05

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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.