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Finding the Fourth Proportional to 16,231,100,230.20, 24,346,650,345.30 and 16,231,100,230.20

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Solution

The fourth proportional to 16,231,100,230.20, 24,346,650,345.30 and 16,231,100,230.20 is: 24,346,650,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231,100,230.20 : 24,346,650,345.30 = 16,231,100,230.20 : x
  2. Step 2: Convert to fraction form
    16,231,100,230.20/24,346,650,345.30 = 16,231,100,230.20/x
  3. Step 3: Cross multiply
    16,231,100,230.20x = 24,346,650,345.30 × 16,231,100,230.20
  4. Step 4: Simplify right side
    16,231,100,230.20x = 395,172,922,024,197,750,784
  5. Step 5: Solve for x
    x = 395,172,922,024,197,750,784/16,231,100,230.20
  6. Step 6: Final answer
    x = 24,346,650,345.30

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