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Finding the Fourth Proportional to 322,853,202,100.20, 484,279,803,150.30 and 322,853,202,100.20

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Solution

The fourth proportional to 322,853,202,100.20, 484,279,803,150.30 and 322,853,202,100.20 is: 484,279,803,150.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,853,202,100.20 : 484,279,803,150.30 = 322,853,202,100.20 : x
  2. Step 2: Convert to fraction form
    322,853,202,100.20/484,279,803,150.30 = 322,853,202,100.20/x
  3. Step 3: Cross multiply
    322,853,202,100.20x = 484,279,803,150.30 × 322,853,202,100.20
  4. Step 4: Simplify right side
    322,853,202,100.20x = 156,351,285,159,528,866,250,752
  5. Step 5: Solve for x
    x = 156,351,285,159,528,866,250,752/322,853,202,100.20
  6. Step 6: Final answer
    x = 484,279,803,150.30

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1.5x scale

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.