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Finding the Fourth Proportional to 96,546,816,400.80, 144,820,224,601.20 and 96,546,816,400.80

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Solution

The fourth proportional to 96,546,816,400.80, 144,820,224,601.20 and 96,546,816,400.80 is: 144,820,224,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,546,816,400.80 : 144,820,224,601.20 = 96,546,816,400.80 : x
  2. Step 2: Convert to fraction form
    96,546,816,400.80/144,820,224,601.20 = 96,546,816,400.80/x
  3. Step 3: Cross multiply
    96,546,816,400.80x = 144,820,224,601.20 × 96,546,816,400.80
  4. Step 4: Simplify right side
    96,546,816,400.80x = 13,981,931,635,694,677,000,192
  5. Step 5: Solve for x
    x = 13,981,931,635,694,677,000,192/96,546,816,400.80
  6. Step 6: Final answer
    x = 144,820,224,601.20

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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.