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Finding the Fourth Proportional to 16,297,524,009.78, 24,446,286,014.67 and 16,297,524,009.78

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Solution

The fourth proportional to 16,297,524,009.78, 24,446,286,014.67 and 16,297,524,009.78 is: 24,446,286,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297,524,009.78 : 24,446,286,014.67 = 16,297,524,009.78 : x
  2. Step 2: Convert to fraction form
    16,297,524,009.78/24,446,286,014.67 = 16,297,524,009.78/x
  3. Step 3: Cross multiply
    16,297,524,009.78x = 24,446,286,014.67 × 16,297,524,009.78
  4. Step 4: Simplify right side
    16,297,524,009.78x = 398,413,933,274,033,356,800
  5. Step 5: Solve for x
    x = 398,413,933,274,033,356,800/16,297,524,009.78
  6. Step 6: Final answer
    x = 24,446,286,014.67

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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.