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Finding the Fourth Proportional to 76,656,142.20, 114,984,213.30 and 76,656,142.20

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Solution

The fourth proportional to 76,656,142.20, 114,984,213.30 and 76,656,142.20 is: 114,984,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,656,142.20 : 114,984,213.30 = 76,656,142.20 : x
  2. Step 2: Convert to fraction form
    76,656,142.20/114,984,213.30 = 76,656,142.20/x
  3. Step 3: Cross multiply
    76,656,142.20x = 114,984,213.30 × 76,656,142.20
  4. Step 4: Simplify right side
    76,656,142.20x = 8,814,246,205,479,931
  5. Step 5: Solve for x
    x = 8,814,246,205,479,931/76,656,142.20
  6. Step 6: Final answer
    x = 114,984,213.30

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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.