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Finding the Fourth Proportional to 173,840,760,031.30, 260,761,140,046.96 and 173,840,760,031.30

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Solution

The fourth proportional to 173,840,760,031.30, 260,761,140,046.96 and 173,840,760,031.30 is: 260,761,140,046.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,840,760,031.30 : 260,761,140,046.96 = 173,840,760,031.30 : x
  2. Step 2: Convert to fraction form
    173,840,760,031.30/260,761,140,046.96 = 173,840,760,031.30/x
  3. Step 3: Cross multiply
    173,840,760,031.30x = 260,761,140,046.96 × 173,840,760,031.30
  4. Step 4: Simplify right side
    173,840,760,031.30x = 45,330,914,772,391,781,466,112
  5. Step 5: Solve for x
    x = 45,330,914,772,391,781,466,112/173,840,760,031.30
  6. Step 6: Final answer
    x = 260,761,140,046.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.