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Finding the Fourth Proportional to 205,662,996.50, 283,815,474.14 and 111,577,138.58

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Solution

The fourth proportional to 205,662,996.50, 283,815,474.14 and 111,577,138.58 is: 153,976,743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,662,996.50 : 283,815,474.14 = 111,577,138.58 : x
  2. Step 2: Convert to fraction form
    205,662,996.50/283,815,474.14 = 111,577,138.58/x
  3. Step 3: Cross multiply
    205,662,996.50x = 283,815,474.14 × 111,577,138.58
  4. Step 4: Simplify right side
    205,662,996.50x = 31,667,318,489,267,184
  5. Step 5: Solve for x
    x = 31,667,318,489,267,184/205,662,996.50
  6. Step 6: Final answer
    x = 153,976,743.64

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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.