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Finding the Fourth Proportional to 154,524,856,523.90, 231,787,284,785.85 and 154,524,856,523.90

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Solution

The fourth proportional to 154,524,856,523.90, 231,787,284,785.85 and 154,524,856,523.90 is: 231,787,284,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,524,856,523.90 : 231,787,284,785.85 = 154,524,856,523.90 : x
  2. Step 2: Convert to fraction form
    154,524,856,523.90/231,787,284,785.85 = 154,524,856,523.90/x
  3. Step 3: Cross multiply
    154,524,856,523.90x = 231,787,284,785.85 × 154,524,856,523.90
  4. Step 4: Simplify right side
    154,524,856,523.90x = 35,816,896,925,597,821,829,120
  5. Step 5: Solve for x
    x = 35,816,896,925,597,821,829,120/154,524,856,523.90
  6. Step 6: Final answer
    x = 231,787,284,785.85

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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.