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Finding the Fourth Proportional to 16,266,080,505,682, 24,399,120,758,532 and 16,266,080,505,682

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Solution

The fourth proportional to 16,266,080,505,682, 24,399,120,758,532 and 16,266,080,505,682 is: 24,399,120,758,532

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266,080,505,682 : 24,399,120,758,532 = 16,266,080,505,682 : x
  2. Step 2: Convert to fraction form
    16,266,080,505,682/24,399,120,758,532 = 16,266,080,505,682/x
  3. Step 3: Cross multiply
    16,266,080,505,682x = 24,399,120,758,532 × 16,266,080,505,682
  4. Step 4: Simplify right side
    16,266,080,505,682x = 396,878,062,526,138,402,388,049,920
  5. Step 5: Solve for x
    x = 396,878,062,526,138,402,388,049,920/16,266,080,505,682
  6. Step 6: Final answer
    x = 24,399,120,758,532

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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.