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Finding the Fourth Proportional to 38,631,324,903.20, 57,946,987,354.82 and 38,631,324,903.20

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Solution

The fourth proportional to 38,631,324,903.20, 57,946,987,354.82 and 38,631,324,903.20 is: 57,946,987,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,631,324,903.20 : 57,946,987,354.82 = 38,631,324,903.20 : x
  2. Step 2: Convert to fraction form
    38,631,324,903.20/57,946,987,354.82 = 38,631,324,903.20/x
  3. Step 3: Cross multiply
    38,631,324,903.20x = 57,946,987,354.82 × 38,631,324,903.20
  4. Step 4: Simplify right side
    38,631,324,903.20x = 2,238,568,895,665,673,076,736
  5. Step 5: Solve for x
    x = 2,238,568,895,665,673,076,736/38,631,324,903.20
  6. Step 6: Final answer
    x = 57,946,987,354.82

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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.