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Finding the Fourth Proportional to 487,981,736,405.20, 731,972,604,607.80 and 487,981,736,405.20

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Solution

The fourth proportional to 487,981,736,405.20, 731,972,604,607.80 and 487,981,736,405.20 is: 731,972,604,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,981,736,405.20 : 731,972,604,607.80 = 487,981,736,405.20 : x
  2. Step 2: Convert to fraction form
    487,981,736,405.20/731,972,604,607.80 = 487,981,736,405.20/x
  3. Step 3: Cross multiply
    487,981,736,405.20x = 731,972,604,607.80 × 487,981,736,405.20
  4. Step 4: Simplify right side
    487,981,736,405.20x = 357,189,262,597,551,198,044,160
  5. Step 5: Solve for x
    x = 357,189,262,597,551,198,044,160/487,981,736,405.20
  6. Step 6: Final answer
    x = 731,972,604,607.80

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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.