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Finding the Fourth Proportional to 280,476,043.20, 420,714,064.80 and 276,444,964.80

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Solution

The fourth proportional to 280,476,043.20, 420,714,064.80 and 276,444,964.80 is: 414,667,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,476,043.20 : 420,714,064.80 = 276,444,964.80 : x
  2. Step 2: Convert to fraction form
    280,476,043.20/420,714,064.80 = 276,444,964.80/x
  3. Step 3: Cross multiply
    280,476,043.20x = 420,714,064.80 × 276,444,964.80
  4. Step 4: Simplify right side
    280,476,043.20x = 116,304,284,834,500,928
  5. Step 5: Solve for x
    x = 116,304,284,834,500,928/280,476,043.20
  6. Step 6: Final answer
    x = 414,667,447.20

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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.