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Finding the Fourth Proportional to 403,468,233.60, 605,202,350.40 and 240,209,558.40

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Solution

The fourth proportional to 403,468,233.60, 605,202,350.40 and 240,209,558.40 is: 360,314,337.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,468,233.60 : 605,202,350.40 = 240,209,558.40 : x
  2. Step 2: Convert to fraction form
    403,468,233.60/605,202,350.40 = 240,209,558.40/x
  3. Step 3: Cross multiply
    403,468,233.60x = 605,202,350.40 × 240,209,558.40
  4. Step 4: Simplify right side
    403,468,233.60x = 145,375,389,332,226,048
  5. Step 5: Solve for x
    x = 145,375,389,332,226,048/403,468,233.60
  6. Step 6: Final answer
    x = 360,314,337.60

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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.