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Finding the Fourth Proportional to 416,354,217.60, 624,083,428.80 and 157,469,404.80

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Solution

The fourth proportional to 416,354,217.60, 624,083,428.80 and 157,469,404.80 is: 236,034,707.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,354,217.60 : 624,083,428.80 = 157,469,404.80 : x
  2. Step 2: Convert to fraction form
    416,354,217.60/624,083,428.80 = 157,469,404.80/x
  3. Step 3: Cross multiply
    416,354,217.60x = 624,083,428.80 × 157,469,404.80
  4. Step 4: Simplify right side
    416,354,217.60x = 98,274,046,078,679,184
  5. Step 5: Solve for x
    x = 98,274,046,078,679,184/416,354,217.60
  6. Step 6: Final answer
    x = 236,034,707.77

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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.