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Finding the Fourth Proportional to 4,911,732,099.20, 7,367,598,148.80 and 4,911,732,099.20

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Solution

The fourth proportional to 4,911,732,099.20, 7,367,598,148.80 and 4,911,732,099.20 is: 7,367,598,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911,732,099.20 : 7,367,598,148.80 = 4,911,732,099.20 : x
  2. Step 2: Convert to fraction form
    4,911,732,099.20/7,367,598,148.80 = 4,911,732,099.20/x
  3. Step 3: Cross multiply
    4,911,732,099.20x = 7,367,598,148.80 × 4,911,732,099.20
  4. Step 4: Simplify right side
    4,911,732,099.20x = 36,187,668,321,467,457,536
  5. Step 5: Solve for x
    x = 36,187,668,321,467,457,536/4,911,732,099.20
  6. Step 6: Final answer
    x = 7,367,598,148.80

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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.