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Finding the Fourth Proportional to 121,995,432,893.67, 182,993,149,340.51 and 121,995,432,893.67

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Solution

The fourth proportional to 121,995,432,893.67, 182,993,149,340.51 and 121,995,432,893.67 is: 182,993,149,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,995,432,893.67 : 182,993,149,340.51 = 121,995,432,893.67 : x
  2. Step 2: Convert to fraction form
    121,995,432,893.67/182,993,149,340.51 = 121,995,432,893.67/x
  3. Step 3: Cross multiply
    121,995,432,893.67x = 182,993,149,340.51 × 121,995,432,893.67
  4. Step 4: Simplify right side
    121,995,432,893.67x = 22,324,328,470,371,519,954,944
  5. Step 5: Solve for x
    x = 22,324,328,470,371,519,954,944/121,995,432,893.67
  6. Step 6: Final answer
    x = 182,993,149,340.51

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1.5x scale

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.