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Finding the Fourth Proportional to 34,338,856,822.20, 51,508,285,233.30 and 34,338,856,822.20

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Solution

The fourth proportional to 34,338,856,822.20, 51,508,285,233.30 and 34,338,856,822.20 is: 51,508,285,233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,338,856,822.20 : 51,508,285,233.30 = 34,338,856,822.20 : x
  2. Step 2: Convert to fraction form
    34,338,856,822.20/51,508,285,233.30 = 34,338,856,822.20/x
  3. Step 3: Cross multiply
    34,338,856,822.20x = 51,508,285,233.30 × 34,338,856,822.20
  4. Step 4: Simplify right side
    34,338,856,822.20x = 1,768,735,631,783,327,432,704
  5. Step 5: Solve for x
    x = 1,768,735,631,783,327,432,704/34,338,856,822.20
  6. Step 6: Final answer
    x = 51,508,285,233.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.