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Finding the Fourth Proportional to 2,419,429,135.20, 3,629,143,702.80 and 2,419,429,135.20

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Solution

The fourth proportional to 2,419,429,135.20, 3,629,143,702.80 and 2,419,429,135.20 is: 3,629,143,702.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419,429,135.20 : 3,629,143,702.80 = 2,419,429,135.20 : x
  2. Step 2: Convert to fraction form
    2,419,429,135.20/3,629,143,702.80 = 2,419,429,135.20/x
  3. Step 3: Cross multiply
    2,419,429,135.20x = 3,629,143,702.80 × 2,419,429,135.20
  4. Step 4: Simplify right side
    2,419,429,135.20x = 8,780,456,010,381,929,472
  5. Step 5: Solve for x
    x = 8,780,456,010,381,929,472/2,419,429,135.20
  6. Step 6: Final answer
    x = 3,629,143,702.80

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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.