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Finding the Fourth Proportional to 564,497,882.97, 846,595,658.98 and 155,456,799.45

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Solution

The fourth proportional to 564,497,882.97, 846,595,658.98 and 155,456,799.45 is: 233,143,569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,497,882.97 : 846,595,658.98 = 155,456,799.45 : x
  2. Step 2: Convert to fraction form
    564,497,882.97/846,595,658.98 = 155,456,799.45/x
  3. Step 3: Cross multiply
    564,497,882.97x = 846,595,658.98 × 155,456,799.45
  4. Step 4: Simplify right side
    564,497,882.97x = 131,609,051,573,294,448
  5. Step 5: Solve for x
    x = 131,609,051,573,294,448/564,497,882.97
  6. Step 6: Final answer
    x = 233,143,569.79

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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.