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Finding the Fourth Proportional to 587,594,008.80, 880,383,243.60 and 280,224,280.80

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Solution

The fourth proportional to 587,594,008.80, 880,383,243.60 and 280,224,280.80 is: 419,855,814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,594,008.80 : 880,383,243.60 = 280,224,280.80 : x
  2. Step 2: Convert to fraction form
    587,594,008.80/880,383,243.60 = 280,224,280.80/x
  3. Step 3: Cross multiply
    587,594,008.80x = 880,383,243.60 × 280,224,280.80
  4. Step 4: Simplify right side
    587,594,008.80x = 246,704,761,266,181,216
  5. Step 5: Solve for x
    x = 246,704,761,266,181,216/587,594,008.80
  6. Step 6: Final answer
    x = 419,855,814.68

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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.