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Finding the Fourth Proportional to 12,189,728,242.35, 18,284,592,363.53 and 12,189,728,242.35

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Solution

The fourth proportional to 12,189,728,242.35, 18,284,592,363.53 and 12,189,728,242.35 is: 18,284,592,363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189,728,242.35 : 18,284,592,363.53 = 12,189,728,242.35 : x
  2. Step 2: Convert to fraction form
    12,189,728,242.35/18,284,592,363.53 = 12,189,728,242.35/x
  3. Step 3: Cross multiply
    12,189,728,242.35x = 18,284,592,363.53 × 12,189,728,242.35
  4. Step 4: Simplify right side
    12,189,728,242.35x = 222,884,211,933,517,840,384
  5. Step 5: Solve for x
    x = 222,884,211,933,517,840,384/12,189,728,242.35
  6. Step 6: Final answer
    x = 18,284,592,363.53

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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.