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Finding the Fourth Proportional to 16,297,524,008.55, 24,446,286,012.85 and 16,297,524,008.55

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Solution

The fourth proportional to 16,297,524,008.55, 24,446,286,012.85 and 16,297,524,008.55 is: 24,446,286,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297,524,008.55 : 24,446,286,012.85 = 16,297,524,008.55 : x
  2. Step 2: Convert to fraction form
    16,297,524,008.55/24,446,286,012.85 = 16,297,524,008.55/x
  3. Step 3: Cross multiply
    16,297,524,008.55x = 24,446,286,012.85 × 16,297,524,008.55
  4. Step 4: Simplify right side
    16,297,524,008.55x = 398,413,933,214,254,039,040
  5. Step 5: Solve for x
    x = 398,413,933,214,254,039,040/16,297,524,008.55
  6. Step 6: Final answer
    x = 24,446,286,012.85

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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.