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Finding the Fourth Proportional to 16,231,100,200.20, 24,346,650,300.30 and 16,231,100,200.20

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Solution

The fourth proportional to 16,231,100,200.20, 24,346,650,300.30 and 16,231,100,200.20 is: 24,346,650,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231,100,200.20 : 24,346,650,300.30 = 16,231,100,200.20 : x
  2. Step 2: Convert to fraction form
    16,231,100,200.20/24,346,650,300.30 = 16,231,100,200.20/x
  3. Step 3: Cross multiply
    16,231,100,200.20x = 24,346,650,300.30 × 16,231,100,200.20
  4. Step 4: Simplify right side
    16,231,100,200.20x = 395,172,920,563,398,737,920
  5. Step 5: Solve for x
    x = 395,172,920,563,398,737,920/16,231,100,200.20
  6. Step 6: Final answer
    x = 24,346,650,300.30

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1.5x scale

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.