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Finding the Fourth Proportional to 487,957,976,998.20, 731,936,965,497.30 and 487,957,976,998.20

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Solution

The fourth proportional to 487,957,976,998.20, 731,936,965,497.30 and 487,957,976,998.20 is: 731,936,965,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,957,976,998.20 : 731,936,965,497.30 = 487,957,976,998.20 : x
  2. Step 2: Convert to fraction form
    487,957,976,998.20/731,936,965,497.30 = 487,957,976,998.20/x
  3. Step 3: Cross multiply
    487,957,976,998.20x = 731,936,965,497.30 × 487,957,976,998.20
  4. Step 4: Simplify right side
    487,957,976,998.20x = 357,154,480,974,263,880,777,728
  5. Step 5: Solve for x
    x = 357,154,480,974,263,880,777,728/487,957,976,998.20
  6. Step 6: Final answer
    x = 731,936,965,497.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.