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Finding the Fourth Proportional to 625,969,129,629.60, 938,953,694,444.40 and 625,969,129,629.60

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Solution

The fourth proportional to 625,969,129,629.60, 938,953,694,444.40 and 625,969,129,629.60 is: 938,953,694,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,969,129,629.60 : 938,953,694,444.40 = 625,969,129,629.60 : x
  2. Step 2: Convert to fraction form
    625,969,129,629.60/938,953,694,444.40 = 625,969,129,629.60/x
  3. Step 3: Cross multiply
    625,969,129,629.60x = 938,953,694,444.40 × 625,969,129,629.60
  4. Step 4: Simplify right side
    625,969,129,629.60x = 587,756,026,873,858,469,396,480
  5. Step 5: Solve for x
    x = 587,756,026,873,858,469,396,480/625,969,129,629.60
  6. Step 6: Final answer
    x = 938,953,694,444.40

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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.