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Finding the Fourth Proportional to 203,635,336,502.55, 305,453,004,753.82 and 203,635,336,502.55

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Solution

The fourth proportional to 203,635,336,502.55, 305,453,004,753.82 and 203,635,336,502.55 is: 305,453,004,753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,635,336,502.55 : 305,453,004,753.82 = 203,635,336,502.55 : x
  2. Step 2: Convert to fraction form
    203,635,336,502.55/305,453,004,753.82 = 203,635,336,502.55/x
  3. Step 3: Cross multiply
    203,635,336,502.55x = 305,453,004,753.82 × 203,635,336,502.55
  4. Step 4: Simplify right side
    203,635,336,502.55x = 62,201,025,408,759,140,188,160
  5. Step 5: Solve for x
    x = 62,201,025,408,759,140,188,160/203,635,336,502.55
  6. Step 6: Final answer
    x = 305,453,004,753.82

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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.