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Finding the Fourth Proportional to 681,556,230.38, 940,387,405.82 and 413,626,124.29

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Solution

The fourth proportional to 681,556,230.38, 940,387,405.82 and 413,626,124.29 is: 570,706,833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,556,230.38 : 940,387,405.82 = 413,626,124.29 : x
  2. Step 2: Convert to fraction form
    681,556,230.38/940,387,405.82 = 413,626,124.29/x
  3. Step 3: Cross multiply
    681,556,230.38x = 940,387,405.82 × 413,626,124.29
  4. Step 4: Simplify right side
    681,556,230.38x = 388,968,798,000,454,016
  5. Step 5: Solve for x
    x = 388,968,798,000,454,016/681,556,230.38
  6. Step 6: Final answer
    x = 570,706,833.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.