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Finding the Fourth Proportional to 442,597,537.80, 663,896,306.70 and 412,364,449.80

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Solution

The fourth proportional to 442,597,537.80, 663,896,306.70 and 412,364,449.80 is: 618,546,674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,597,537.80 : 663,896,306.70 = 412,364,449.80 : x
  2. Step 2: Convert to fraction form
    442,597,537.80/663,896,306.70 = 412,364,449.80/x
  3. Step 3: Cross multiply
    442,597,537.80x = 663,896,306.70 × 412,364,449.80
  4. Step 4: Simplify right side
    442,597,537.80x = 273,767,235,236,597,568
  5. Step 5: Solve for x
    x = 273,767,235,236,597,568/442,597,537.80
  6. Step 6: Final answer
    x = 618,546,674.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.