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Finding the Fourth Proportional to 16,548,639,714,103, 24,822,959,571,156 and 16,548,639,714,103

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Solution

The fourth proportional to 16,548,639,714,103, 24,822,959,571,156 and 16,548,639,714,103 is: 24,822,959,571,156

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548,639,714,103 : 24,822,959,571,156 = 16,548,639,714,103 : x
  2. Step 2: Convert to fraction form
    16,548,639,714,103/24,822,959,571,156 = 16,548,639,714,103/x
  3. Step 3: Cross multiply
    16,548,639,714,103x = 24,822,959,571,156 × 16,548,639,714,103
  4. Step 4: Simplify right side
    16,548,639,714,103x = 410,786,214,580,805,372,393,553,920
  5. Step 5: Solve for x
    x = 410,786,214,580,805,372,393,553,920/16,548,639,714,103
  6. Step 6: Final answer
    x = 24,822,959,571,156

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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.