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Finding the Fourth Proportional to 484,276,608,276.80, 726,414,912,415.20 and 484,276,608,276.80

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Solution

The fourth proportional to 484,276,608,276.80, 726,414,912,415.20 and 484,276,608,276.80 is: 726,414,912,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,276,608,276.80 : 726,414,912,415.20 = 484,276,608,276.80 : x
  2. Step 2: Convert to fraction form
    484,276,608,276.80/726,414,912,415.20 = 484,276,608,276.80/x
  3. Step 3: Cross multiply
    484,276,608,276.80x = 726,414,912,415.20 × 484,276,608,276.80
  4. Step 4: Simplify right side
    484,276,608,276.80x = 351,785,749,986,121,743,335,424
  5. Step 5: Solve for x
    x = 351,785,749,986,121,743,335,424/484,276,608,276.80
  6. Step 6: Final answer
    x = 726,414,912,415.20

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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.