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Finding the Fourth Proportional to 653,205,464.80, 978,674,456.40 and 423,056,082.40

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Solution

The fourth proportional to 653,205,464.80, 978,674,456.40 and 423,056,082.40 is: 633,849,843.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,205,464.80 : 978,674,456.40 = 423,056,082.40 : x
  2. Step 2: Convert to fraction form
    653,205,464.80/978,674,456.40 = 423,056,082.40/x
  3. Step 3: Cross multiply
    653,205,464.80x = 978,674,456.40 × 423,056,082.40
  4. Step 4: Simplify right side
    653,205,464.80x = 414,034,181,469,533,568
  5. Step 5: Solve for x
    x = 414,034,181,469,533,568/653,205,464.80
  6. Step 6: Final answer
    x = 633,849,843.24

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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.