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Finding the Fourth Proportional to 484,972,273.60, 727,458,410.40 and 484,972,273.60

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Solution

The fourth proportional to 484,972,273.60, 727,458,410.40 and 484,972,273.60 is: 727,458,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,972,273.60 : 727,458,410.40 = 484,972,273.60 : x
  2. Step 2: Convert to fraction form
    484,972,273.60/727,458,410.40 = 484,972,273.60/x
  3. Step 3: Cross multiply
    484,972,273.60x = 727,458,410.40 × 484,972,273.60
  4. Step 4: Simplify right side
    484,972,273.60x = 352,797,159,241,129,920
  5. Step 5: Solve for x
    x = 352,797,159,241,129,920/484,972,273.60
  6. Step 6: Final answer
    x = 727,458,410.40

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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.