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Finding the Fourth Proportional to 32,104,656,082.40, 48,156,984,123.60 and 32,104,656,082.40

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Solution

The fourth proportional to 32,104,656,082.40, 48,156,984,123.60 and 32,104,656,082.40 is: 48,156,984,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,104,656,082.40 : 48,156,984,123.60 = 32,104,656,082.40 : x
  2. Step 2: Convert to fraction form
    32,104,656,082.40/48,156,984,123.60 = 32,104,656,082.40/x
  3. Step 3: Cross multiply
    32,104,656,082.40x = 48,156,984,123.60 × 32,104,656,082.40
  4. Step 4: Simplify right side
    32,104,656,082.40x = 1,546,063,413,253,775,032,320
  5. Step 5: Solve for x
    x = 1,546,063,413,253,775,032,320/32,104,656,082.40
  6. Step 6: Final answer
    x = 48,156,984,123.60

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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.