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Finding the Fourth Proportional to 624,188,104.64, 861,379,568.32 and 345,747,564.16

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Solution

The fourth proportional to 624,188,104.64, 861,379,568.32 and 345,747,564.16 is: 477,131,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,188,104.64 : 861,379,568.32 = 345,747,564.16 : x
  2. Step 2: Convert to fraction form
    624,188,104.64/861,379,568.32 = 345,747,564.16/x
  3. Step 3: Cross multiply
    624,188,104.64x = 861,379,568.32 × 345,747,564.16
  4. Step 4: Simplify right side
    624,188,104.64x = 297,819,887,563,832,320
  5. Step 5: Solve for x
    x = 297,819,887,563,832,320/624,188,104.64
  6. Step 6: Final answer
    x = 477,131,629.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.