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Finding the Fourth Proportional to 487,956,393,000.08, 731,934,589,500.10 and 487,956,393,000.08

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Solution

The fourth proportional to 487,956,393,000.08, 731,934,589,500.10 and 487,956,393,000.08 is: 731,934,589,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,956,393,000.08 : 731,934,589,500.10 = 487,956,393,000.08 : x
  2. Step 2: Convert to fraction form
    487,956,393,000.08/731,934,589,500.10 = 487,956,393,000.08/x
  3. Step 3: Cross multiply
    487,956,393,000.08x = 731,934,589,500.10 × 487,956,393,000.08
  4. Step 4: Simplify right side
    487,956,393,000.08x = 357,152,162,204,463,023,521,792
  5. Step 5: Solve for x
    x = 357,152,162,204,463,023,521,792/487,956,393,000.08
  6. Step 6: Final answer
    x = 731,934,589,500.10

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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.