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Finding the Fourth Proportional to 1,099,693,822.20, 1,649,540,733.30 and 409,458,251.40

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Solution

The fourth proportional to 1,099,693,822.20, 1,649,540,733.30 and 409,458,251.40 is: 614,187,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,693,822.20 : 1,649,540,733.30 = 409,458,251.40 : x
  2. Step 2: Convert to fraction form
    1,099,693,822.20/1,649,540,733.30 = 409,458,251.40/x
  3. Step 3: Cross multiply
    1,099,693,822.20x = 1,649,540,733.30 × 409,458,251.40
  4. Step 4: Simplify right side
    1,099,693,822.20x = 675,418,064,270,091,648
  5. Step 5: Solve for x
    x = 675,418,064,270,091,648/1,099,693,822.20
  6. Step 6: Final answer
    x = 614,187,377.10

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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.