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Finding the Fourth Proportional to 442,304,114.70, 663,881,324.85 and 224,200,728.30

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Solution

The fourth proportional to 442,304,114.70, 663,881,324.85 and 224,200,728.30 is: 336,516,599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,304,114.70 : 663,881,324.85 = 224,200,728.30 : x
  2. Step 2: Convert to fraction form
    442,304,114.70/663,881,324.85 = 224,200,728.30/x
  3. Step 3: Cross multiply
    442,304,114.70x = 663,881,324.85 × 224,200,728.30
  4. Step 4: Simplify right side
    442,304,114.70x = 148,842,676,536,138,912
  5. Step 5: Solve for x
    x = 148,842,676,536,138,912/442,304,114.70
  6. Step 6: Final answer
    x = 336,516,599.30

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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.