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Finding the Fourth Proportional to 362,460,649.80, 543,690,974.70 and 224,711,142.60

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Solution

The fourth proportional to 362,460,649.80, 543,690,974.70 and 224,711,142.60 is: 337,066,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,460,649.80 : 543,690,974.70 = 224,711,142.60 : x
  2. Step 2: Convert to fraction form
    362,460,649.80/543,690,974.70 = 224,711,142.60/x
  3. Step 3: Cross multiply
    362,460,649.80x = 543,690,974.70 × 224,711,142.60
  4. Step 4: Simplify right side
    362,460,649.80x = 122,173,420,146,144,704
  5. Step 5: Solve for x
    x = 122,173,420,146,144,704/362,460,649.80
  6. Step 6: Final answer
    x = 337,066,713.90

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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.