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Finding the Fourth Proportional to 219,327,232,121.78, 328,990,848,182.67 and 219,327,232,121.78

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Solution

The fourth proportional to 219,327,232,121.78, 328,990,848,182.67 and 219,327,232,121.78 is: 328,990,848,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,327,232,121.78 : 328,990,848,182.67 = 219,327,232,121.78 : x
  2. Step 2: Convert to fraction form
    219,327,232,121.78/328,990,848,182.67 = 219,327,232,121.78/x
  3. Step 3: Cross multiply
    219,327,232,121.78x = 328,990,848,182.67 × 219,327,232,121.78
  4. Step 4: Simplify right side
    219,327,232,121.78x = 72,156,652,125,301,745,123,328
  5. Step 5: Solve for x
    x = 72,156,652,125,301,745,123,328/219,327,232,121.78
  6. Step 6: Final answer
    x = 328,990,848,182.67

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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.