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Finding the Fourth Proportional to 625,969,129,401.10, 938,953,694,101.59 and 625,969,129,401.10

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Solution

The fourth proportional to 625,969,129,401.10, 938,953,694,101.59 and 625,969,129,401.10 is: 938,953,694,101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,969,129,401.10 : 938,953,694,101.59 = 625,969,129,401.10 : x
  2. Step 2: Convert to fraction form
    625,969,129,401.10/938,953,694,101.59 = 625,969,129,401.10/x
  3. Step 3: Cross multiply
    625,969,129,401.10x = 938,953,694,101.59 × 625,969,129,401.10
  4. Step 4: Simplify right side
    625,969,129,401.10x = 587,756,026,444,719,027,388,416
  5. Step 5: Solve for x
    x = 587,756,026,444,719,027,388,416/625,969,129,401.10
  6. Step 6: Final answer
    x = 938,953,694,101.59

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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.