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Finding the Fourth Proportional to 77,784,491.80, 116,676,737.70 and 23,924,805.40

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Solution

The fourth proportional to 77,784,491.80, 116,676,737.70 and 23,924,805.40 is: 35,887,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,784,491.80 : 116,676,737.70 = 23,924,805.40 : x
  2. Step 2: Convert to fraction form
    77,784,491.80/116,676,737.70 = 23,924,805.40/x
  3. Step 3: Cross multiply
    77,784,491.80x = 116,676,737.70 × 23,924,805.40
  4. Step 4: Simplify right side
    77,784,491.80x = 2,791,468,244,179,343.50
  5. Step 5: Solve for x
    x = 2,791,468,244,179,343.50/77,784,491.80
  6. Step 6: Final answer
    x = 35,887,208.10

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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.