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Finding the Fourth Proportional to 82,204,959.60, 123,218,965.80 and 31,067,218.80

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Solution

The fourth proportional to 82,204,959.60, 123,218,965.80 and 31,067,218.80 is: 46,567,391.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,204,959.60 : 123,218,965.80 = 31,067,218.80 : x
  2. Step 2: Convert to fraction form
    82,204,959.60/123,218,965.80 = 31,067,218.80/x
  3. Step 3: Cross multiply
    82,204,959.60x = 123,218,965.80 × 31,067,218.80
  4. Step 4: Simplify right side
    82,204,959.60x = 3,828,070,570,818,317
  5. Step 5: Solve for x
    x = 3,828,070,570,818,317/82,204,959.60
  6. Step 6: Final answer
    x = 46,567,391.91

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Why These Related Problems?

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