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Finding the Fourth Proportional to 16,055,678,416.20, 24,083,517,624.30 and 16,055,678,416.20

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Solution

The fourth proportional to 16,055,678,416.20, 24,083,517,624.30 and 16,055,678,416.20 is: 24,083,517,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,055,678,416.20 : 24,083,517,624.30 = 16,055,678,416.20 : x
  2. Step 2: Convert to fraction form
    16,055,678,416.20/24,083,517,624.30 = 16,055,678,416.20/x
  3. Step 3: Cross multiply
    16,055,678,416.20x = 24,083,517,624.30 × 16,055,678,416.20
  4. Step 4: Simplify right side
    16,055,678,416.20x = 386,677,214,106,645,823,488
  5. Step 5: Solve for x
    x = 386,677,214,106,645,823,488/16,055,678,416.20
  6. Step 6: Final answer
    x = 24,083,517,624.30

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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.