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Finding the Fourth Proportional to 635,687,109.67, 877,297,296.28 and 381,378,002.49

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Solution

The fourth proportional to 635,687,109.67, 877,297,296.28 and 381,378,002.49 is: 526,331,091.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,687,109.67 : 877,297,296.28 = 381,378,002.49 : x
  2. Step 2: Convert to fraction form
    635,687,109.67/877,297,296.28 = 381,378,002.49/x
  3. Step 3: Cross multiply
    635,687,109.67x = 877,297,296.28 × 381,378,002.49
  4. Step 4: Simplify right side
    635,687,109.67x = 334,581,890,445,144,128
  5. Step 5: Solve for x
    x = 334,581,890,445,144,128/635,687,109.67
  6. Step 6: Final answer
    x = 526,331,091.76

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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.