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Finding the Fourth Proportional to 275,976,281.40, 413,964,422.10 and 81,917,647.80

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Solution

The fourth proportional to 275,976,281.40, 413,964,422.10 and 81,917,647.80 is: 122,876,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,976,281.40 : 413,964,422.10 = 81,917,647.80 : x
  2. Step 2: Convert to fraction form
    275,976,281.40/413,964,422.10 = 81,917,647.80/x
  3. Step 3: Cross multiply
    275,976,281.40x = 413,964,422.10 × 81,917,647.80
  4. Step 4: Simplify right side
    275,976,281.40x = 33,910,991,731,318,336
  5. Step 5: Solve for x
    x = 33,910,991,731,318,336/275,976,281.40
  6. Step 6: Final answer
    x = 122,876,471.70

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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.