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Finding the Fourth Proportional to 12,112,691,745.30, 16,982,257,244.70 and 12,112,691,745.30

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Solution

The fourth proportional to 12,112,691,745.30, 16,982,257,244.70 and 12,112,691,745.30 is: 16,982,257,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112,691,745.30 : 16,982,257,244.70 = 12,112,691,745.30 : x
  2. Step 2: Convert to fraction form
    12,112,691,745.30/16,982,257,244.70 = 12,112,691,745.30/x
  3. Step 3: Cross multiply
    12,112,691,745.30x = 16,982,257,244.70 × 12,112,691,745.30
  4. Step 4: Simplify right side
    12,112,691,745.30x = 205,700,847,144,438,792,192
  5. Step 5: Solve for x
    x = 205,700,847,144,438,792,192/12,112,691,745.30
  6. Step 6: Final answer
    x = 16,982,257,244.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.