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Finding the Fourth Proportional to 16,297,577,881.65, 24,446,366,822.48 and 16,297,577,881.65

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Solution

The fourth proportional to 16,297,577,881.65, 24,446,366,822.48 and 16,297,577,881.65 is: 24,446,366,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297,577,881.65 : 24,446,366,822.48 = 16,297,577,881.65 : x
  2. Step 2: Convert to fraction form
    16,297,577,881.65/24,446,366,822.48 = 16,297,577,881.65/x
  3. Step 3: Cross multiply
    16,297,577,881.65x = 24,446,366,822.48 × 16,297,577,881.65
  4. Step 4: Simplify right side
    16,297,577,881.65x = 398,416,567,212,670,910,464
  5. Step 5: Solve for x
    x = 398,416,567,212,670,910,464/16,297,577,881.65
  6. Step 6: Final answer
    x = 24,446,366,822.48

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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.