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Finding the Fourth Proportional to 851,468,361, 1,175,027,932.26 and 460,327,785

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Solution

The fourth proportional to 851,468,361, 1,175,027,932.26 and 460,327,785 is: 635,253,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,468,361 : 1,175,027,932.26 = 460,327,785 : x
  2. Step 2: Convert to fraction form
    851,468,361/1,175,027,932.26 = 460,327,785/x
  3. Step 3: Cross multiply
    851,468,361x = 1,175,027,932.26 × 460,327,785
  4. Step 4: Simplify right side
    851,468,361x = 540,898,005,370,375,808
  5. Step 5: Solve for x
    x = 540,898,005,370,375,808/851,468,361
  6. Step 6: Final answer
    x = 635,253,205.10

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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.