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Finding the Fourth Proportional to 65,190,313,234.20, 97,785,469,851.30 and 65,190,313,234.20

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Solution

The fourth proportional to 65,190,313,234.20, 97,785,469,851.30 and 65,190,313,234.20 is: 97,785,469,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,190,313,234.20 : 97,785,469,851.30 = 65,190,313,234.20 : x
  2. Step 2: Convert to fraction form
    65,190,313,234.20/97,785,469,851.30 = 65,190,313,234.20/x
  3. Step 3: Cross multiply
    65,190,313,234.20x = 97,785,469,851.30 × 65,190,313,234.20
  4. Step 4: Simplify right side
    65,190,313,234.20x = 6,374,665,409,359,667,789,824
  5. Step 5: Solve for x
    x = 6,374,665,409,359,667,789,824/65,190,313,234.20
  6. Step 6: Final answer
    x = 97,785,469,851.30

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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.