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Finding the Fourth Proportional to 260,092,755.52, 358,580,780.80 and 206,624,824.08

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Solution

The fourth proportional to 260,092,755.52, 358,580,780.80 and 206,624,824.08 is: 284,866,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,092,755.52 : 358,580,780.80 = 206,624,824.08 : x
  2. Step 2: Convert to fraction form
    260,092,755.52/358,580,780.80 = 206,624,824.08/x
  3. Step 3: Cross multiply
    260,092,755.52x = 358,580,780.80 × 206,624,824.08
  4. Step 4: Simplify right side
    260,092,755.52x = 74,091,690,751,269,056
  5. Step 5: Solve for x
    x = 74,091,690,751,269,056/260,092,755.52
  6. Step 6: Final answer
    x = 284,866,414.69

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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.