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Finding the Fourth Proportional to 16,146,532,951.90, 24,219,799,427.85 and 16,146,532,951.90

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Solution

The fourth proportional to 16,146,532,951.90, 24,219,799,427.85 and 16,146,532,951.90 is: 24,219,799,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146,532,951.90 : 24,219,799,427.85 = 16,146,532,951.90 : x
  2. Step 2: Convert to fraction form
    16,146,532,951.90/24,219,799,427.85 = 16,146,532,951.90/x
  3. Step 3: Cross multiply
    16,146,532,951.90x = 24,219,799,427.85 × 16,146,532,951.90
  4. Step 4: Simplify right side
    16,146,532,951.90x = 391,065,789,550,188,756,992
  5. Step 5: Solve for x
    x = 391,065,789,550,188,756,992/16,146,532,951.90
  6. Step 6: Final answer
    x = 24,219,799,427.85

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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.