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Finding the Fourth Proportional to 552,107,590.40, 827,458,046.40 and 293,446,726.40

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Solution

The fourth proportional to 552,107,590.40, 827,458,046.40 and 293,446,726.40 is: 439,796,262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,107,590.40 : 827,458,046.40 = 293,446,726.40 : x
  2. Step 2: Convert to fraction form
    552,107,590.40/827,458,046.40 = 293,446,726.40/x
  3. Step 3: Cross multiply
    552,107,590.40x = 827,458,046.40 × 293,446,726.40
  4. Step 4: Simplify right side
    552,107,590.40x = 242,814,854,949,419,264
  5. Step 5: Solve for x
    x = 242,814,854,949,419,264/552,107,590.40
  6. Step 6: Final answer
    x = 439,796,262.85

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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.