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Finding the Fourth Proportional to 416,346,514.60, 624,071,874.30 and 157,461,701.80

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Solution

The fourth proportional to 416,346,514.60, 624,071,874.30 and 157,461,701.80 is: 236,023,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,346,514.60 : 624,071,874.30 = 157,461,701.80 : x
  2. Step 2: Convert to fraction form
    416,346,514.60/624,071,874.30 = 157,461,701.80/x
  3. Step 3: Cross multiply
    416,346,514.60x = 624,071,874.30 × 157,461,701.80
  4. Step 4: Simplify right side
    416,346,514.60x = 98,267,419,372,793,680
  5. Step 5: Solve for x
    x = 98,267,419,372,793,680/416,346,514.60
  6. Step 6: Final answer
    x = 236,023,158.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.