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Finding the Fourth Proportional to 865,141,763.82, 1,193,890,523.49 and 468,672,309.06

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Solution

The fourth proportional to 865,141,763.82, 1,193,890,523.49 and 468,672,309.06 is: 646,765,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,141,763.82 : 1,193,890,523.49 = 468,672,309.06 : x
  2. Step 2: Convert to fraction form
    865,141,763.82/1,193,890,523.49 = 468,672,309.06/x
  3. Step 3: Cross multiply
    865,141,763.82x = 1,193,890,523.49 × 468,672,309.06
  4. Step 4: Simplify right side
    865,141,763.82x = 559,543,428,408,910,464
  5. Step 5: Solve for x
    x = 559,543,428,408,910,464/865,141,763.82
  6. Step 6: Final answer
    x = 646,765,017.95

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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.