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Finding the Fourth Proportional to 1,288,307,715.90, 1,933,469,343.45 and 598,300,467.90

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Solution

The fourth proportional to 1,288,307,715.90, 1,933,469,343.45 and 598,300,467.90 is: 897,918,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,307,715.90 : 1,933,469,343.45 = 598,300,467.90 : x
  2. Step 2: Convert to fraction form
    1,288,307,715.90/1,933,469,343.45 = 598,300,467.90/x
  3. Step 3: Cross multiply
    1,288,307,715.90x = 1,933,469,343.45 × 598,300,467.90
  4. Step 4: Simplify right side
    1,288,307,715.90x = 1,156,795,612,856,440,832
  5. Step 5: Solve for x
    x = 1,156,795,612,856,440,832/1,288,307,715.90
  6. Step 6: Final answer
    x = 897,918,718.16

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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.