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Finding the Fourth Proportional to 965,382,816,092.20, 1,448,074,224,138.30 and 965,382,816,092.20

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Solution

The fourth proportional to 965,382,816,092.20, 1,448,074,224,138.30 and 965,382,816,092.20 is: 1,448,074,224,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,382,816,092.20 : 1,448,074,224,138.30 = 965,382,816,092.20 : x
  2. Step 2: Convert to fraction form
    965,382,816,092.20/1,448,074,224,138.30 = 965,382,816,092.20/x
  3. Step 3: Cross multiply
    965,382,816,092.20x = 1,448,074,224,138.30 × 965,382,816,092.20
  4. Step 4: Simplify right side
    965,382,816,092.20x = 1,397,945,972,409,159,640,940,544
  5. Step 5: Solve for x
    x = 1,397,945,972,409,159,640,940,544/965,382,816,092.20
  6. Step 6: Final answer
    x = 1,448,074,224,138.30

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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.