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Finding the Fourth Proportional to 324,375,653.84, 447,279,589.32 and 206,714,474.96

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Solution

The fourth proportional to 324,375,653.84, 447,279,589.32 and 206,714,474.96 is: 285,037,315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,375,653.84 : 447,279,589.32 = 206,714,474.96 : x
  2. Step 2: Convert to fraction form
    324,375,653.84/447,279,589.32 = 206,714,474.96/x
  3. Step 3: Cross multiply
    324,375,653.84x = 447,279,589.32 × 206,714,474.96
  4. Step 4: Simplify right side
    324,375,653.84x = 92,459,165,466,608,224
  5. Step 5: Solve for x
    x = 92,459,165,466,608,224/324,375,653.84
  6. Step 6: Final answer
    x = 285,037,315.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.