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Finding the Fourth Proportional to 967,669,237.86, 1,451,499,714 and 268,159,375.77

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Solution

The fourth proportional to 967,669,237.86, 1,451,499,714 and 268,159,375.77 is: 402,237,915.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,669,237.86 : 1,451,499,714 = 268,159,375.77 : x
  2. Step 2: Convert to fraction form
    967,669,237.86/1,451,499,714 = 268,159,375.77/x
  3. Step 3: Cross multiply
    967,669,237.86x = 1,451,499,714 × 268,159,375.77
  4. Step 4: Simplify right side
    967,669,237.86x = 389,233,257,236,573,568
  5. Step 5: Solve for x
    x = 389,233,257,236,573,568/967,669,237.86
  6. Step 6: Final answer
    x = 402,237,915.61

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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.