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Finding the Fourth Proportional to 121,995,432,920.17, 182,993,149,380.26 and 121,995,432,920.17

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Solution

The fourth proportional to 121,995,432,920.17, 182,993,149,380.26 and 121,995,432,920.17 is: 182,993,149,380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,995,432,920.17 : 182,993,149,380.26 = 121,995,432,920.17 : x
  2. Step 2: Convert to fraction form
    121,995,432,920.17/182,993,149,380.26 = 121,995,432,920.17/x
  3. Step 3: Cross multiply
    121,995,432,920.17x = 182,993,149,380.26 × 121,995,432,920.17
  4. Step 4: Simplify right side
    121,995,432,920.17x = 22,324,328,480,070,160,089,088
  5. Step 5: Solve for x
    x = 22,324,328,480,070,160,089,088/121,995,432,920.17
  6. Step 6: Final answer
    x = 182,993,149,380.26

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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.