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Finding the Fourth Proportional to 406,472,942.80, 609,709,414.20 and 133,808,280.40

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Solution

The fourth proportional to 406,472,942.80, 609,709,414.20 and 133,808,280.40 is: 200,712,420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,472,942.80 : 609,709,414.20 = 133,808,280.40 : x
  2. Step 2: Convert to fraction form
    406,472,942.80/609,709,414.20 = 133,808,280.40/x
  3. Step 3: Cross multiply
    406,472,942.80x = 609,709,414.20 × 133,808,280.40
  4. Step 4: Simplify right side
    406,472,942.80x = 81,584,168,257,793,344
  5. Step 5: Solve for x
    x = 81,584,168,257,793,344/406,472,942.80
  6. Step 6: Final answer
    x = 200,712,420.60

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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.