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Finding the Fourth Proportional to 173,840,962,169.40, 260,761,443,254.28 and 173,840,962,169.40

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Solution

The fourth proportional to 173,840,962,169.40, 260,761,443,254.28 and 173,840,962,169.40 is: 260,761,443,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,840,962,169.40 : 260,761,443,254.28 = 173,840,962,169.40 : x
  2. Step 2: Convert to fraction form
    173,840,962,169.40/260,761,443,254.28 = 173,840,962,169.40/x
  3. Step 3: Cross multiply
    173,840,962,169.40x = 260,761,443,254.28 × 173,840,962,169.40
  4. Step 4: Simplify right side
    173,840,962,169.40x = 45,331,020,192,005,432,016,896
  5. Step 5: Solve for x
    x = 45,331,020,192,005,432,016,896/173,840,962,169.40
  6. Step 6: Final answer
    x = 260,761,443,254.28

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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.