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Finding the Fourth Proportional to 16,266,080,505,648, 24,399,120,758,480 and 16,266,080,505,648

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Solution

The fourth proportional to 16,266,080,505,648, 24,399,120,758,480 and 16,266,080,505,648 is: 24,399,120,758,480

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266,080,505,648 : 24,399,120,758,480 = 16,266,080,505,648 : x
  2. Step 2: Convert to fraction form
    16,266,080,505,648/24,399,120,758,480 = 16,266,080,505,648/x
  3. Step 3: Cross multiply
    16,266,080,505,648x = 24,399,120,758,480 × 16,266,080,505,648
  4. Step 4: Simplify right side
    16,266,080,505,648x = 396,878,062,524,462,952,825,749,504
  5. Step 5: Solve for x
    x = 396,878,062,524,462,952,825,749,504/16,266,080,505,648
  6. Step 6: Final answer
    x = 24,399,120,758,480

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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.