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Finding the Fourth Proportional to 202,992,891.82, 280,132,878.09 and 110,174,512.30

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Solution

The fourth proportional to 202,992,891.82, 280,132,878.09 and 110,174,512.30 is: 152,042,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,992,891.82 : 280,132,878.09 = 110,174,512.30 : x
  2. Step 2: Convert to fraction form
    202,992,891.82/280,132,878.09 = 110,174,512.30/x
  3. Step 3: Cross multiply
    202,992,891.82x = 280,132,878.09 × 110,174,512.30
  4. Step 4: Simplify right side
    202,992,891.82x = 30,863,503,222,473,928
  5. Step 5: Solve for x
    x = 30,863,503,222,473,928/202,992,891.82
  6. Step 6: Final answer
    x = 152,042,285.55

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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.