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Finding the Fourth Proportional to 652,856,000.20, 915,207,723.80 and 652,856,000.20

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Solution

The fourth proportional to 652,856,000.20, 915,207,723.80 and 652,856,000.20 is: 915,207,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,856,000.20 : 915,207,723.80 = 652,856,000.20 : x
  2. Step 2: Convert to fraction form
    652,856,000.20/915,207,723.80 = 652,856,000.20/x
  3. Step 3: Cross multiply
    652,856,000.20x = 915,207,723.80 × 652,856,000.20
  4. Step 4: Simplify right side
    652,856,000.20x = 597,498,853,912,214,400
  5. Step 5: Solve for x
    x = 597,498,853,912,214,400/652,856,000.20
  6. Step 6: Final answer
    x = 915,207,723.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.