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Finding the Fourth Proportional to 966,652,034.70, 1,449,978,052.05 and 276,581,801.10

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Solution

The fourth proportional to 966,652,034.70, 1,449,978,052.05 and 276,581,801.10 is: 414,872,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,652,034.70 : 1,449,978,052.05 = 276,581,801.10 : x
  2. Step 2: Convert to fraction form
    966,652,034.70/1,449,978,052.05 = 276,581,801.10/x
  3. Step 3: Cross multiply
    966,652,034.70x = 1,449,978,052.05 × 276,581,801.10
  4. Step 4: Simplify right side
    966,652,034.70x = 401,037,541,191,458,560
  5. Step 5: Solve for x
    x = 401,037,541,191,458,560/966,652,034.70
  6. Step 6: Final answer
    x = 414,872,701.65

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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.