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Finding the Fourth Proportional to 12,129,134,472.30, 18,193,701,708.45 and 12,129,134,472.30

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Solution

The fourth proportional to 12,129,134,472.30, 18,193,701,708.45 and 12,129,134,472.30 is: 18,193,701,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129,134,472.30 : 18,193,701,708.45 = 12,129,134,472.30 : x
  2. Step 2: Convert to fraction form
    12,129,134,472.30/18,193,701,708.45 = 12,129,134,472.30/x
  3. Step 3: Cross multiply
    12,129,134,472.30x = 18,193,701,708.45 × 12,129,134,472.30
  4. Step 4: Simplify right side
    12,129,134,472.30x = 220,673,854,570,704,306,176
  5. Step 5: Solve for x
    x = 220,673,854,570,704,306,176/12,129,134,472.30
  6. Step 6: Final answer
    x = 18,193,701,708.45

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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.