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Finding the Fourth Proportional to 966,652,035.20, 1,449,978,052.80 and 276,581,801.60

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Solution

The fourth proportional to 966,652,035.20, 1,449,978,052.80 and 276,581,801.60 is: 414,872,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,652,035.20 : 1,449,978,052.80 = 276,581,801.60 : x
  2. Step 2: Convert to fraction form
    966,652,035.20/1,449,978,052.80 = 276,581,801.60/x
  3. Step 3: Cross multiply
    966,652,035.20x = 1,449,978,052.80 × 276,581,801.60
  4. Step 4: Simplify right side
    966,652,035.20x = 401,037,542,123,883,968
  5. Step 5: Solve for x
    x = 401,037,542,123,883,968/966,652,035.20
  6. Step 6: Final answer
    x = 414,872,702.40

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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.