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Finding the Fourth Proportional to 652,679,658.60, 976,752,006.30 and 598,260,100.20

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Solution

The fourth proportional to 652,679,658.60, 976,752,006.30 and 598,260,100.20 is: 895,311,728.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,679,658.60 : 976,752,006.30 = 598,260,100.20 : x
  2. Step 2: Convert to fraction form
    652,679,658.60/976,752,006.30 = 598,260,100.20/x
  3. Step 3: Cross multiply
    652,679,658.60x = 976,752,006.30 × 598,260,100.20
  4. Step 4: Simplify right side
    652,679,658.60x = 584,351,753,159,588,992
  5. Step 5: Solve for x
    x = 584,351,753,159,588,992/652,679,658.60
  6. Step 6: Final answer
    x = 895,311,728.29

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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.