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Finding the Fourth Proportional to 90,876,414,469.60, 136,314,621,704.40 and 90,876,414,469.60

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Solution

The fourth proportional to 90,876,414,469.60, 136,314,621,704.40 and 90,876,414,469.60 is: 136,314,621,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,876,414,469.60 : 136,314,621,704.40 = 90,876,414,469.60 : x
  2. Step 2: Convert to fraction form
    90,876,414,469.60/136,314,621,704.40 = 90,876,414,469.60/x
  3. Step 3: Cross multiply
    90,876,414,469.60x = 136,314,621,704.40 × 90,876,414,469.60
  4. Step 4: Simplify right side
    90,876,414,469.60x = 12,387,784,060,275,785,728,000
  5. Step 5: Solve for x
    x = 12,387,784,060,275,785,728,000/90,876,414,469.60
  6. Step 6: Final answer
    x = 136,314,621,704.40

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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.