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Finding the Fourth Proportional to 16,548,639,714,096, 24,822,959,571,144 and 16,548,639,714,096

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Solution

The fourth proportional to 16,548,639,714,096, 24,822,959,571,144 and 16,548,639,714,096 is: 24,822,959,571,144

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548,639,714,096 : 24,822,959,571,144 = 16,548,639,714,096 : x
  2. Step 2: Convert to fraction form
    16,548,639,714,096/24,822,959,571,144 = 16,548,639,714,096/x
  3. Step 3: Cross multiply
    16,548,639,714,096x = 24,822,959,571,144 × 16,548,639,714,096
  4. Step 4: Simplify right side
    16,548,639,714,096x = 410,786,214,580,432,981,549,121,536
  5. Step 5: Solve for x
    x = 410,786,214,580,432,981,549,121,536/16,548,639,714,096
  6. Step 6: Final answer
    x = 24,822,959,571,144

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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.