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Finding the Fourth Proportional to 132,010,402,079.85, 198,015,603,119.78 and 132,010,402,079.85

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Solution

The fourth proportional to 132,010,402,079.85, 198,015,603,119.78 and 132,010,402,079.85 is: 198,015,603,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,010,402,079.85 : 198,015,603,119.78 = 132,010,402,079.85 : x
  2. Step 2: Convert to fraction form
    132,010,402,079.85/198,015,603,119.78 = 132,010,402,079.85/x
  3. Step 3: Cross multiply
    132,010,402,079.85x = 198,015,603,119.78 × 132,010,402,079.85
  4. Step 4: Simplify right side
    132,010,402,079.85x = 26,140,119,385,926,157,729,792
  5. Step 5: Solve for x
    x = 26,140,119,385,926,157,729,792/132,010,402,079.85
  6. Step 6: Final answer
    x = 198,015,603,119.78

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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.