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Finding the Fourth Proportional to 77,711,996.80, 108,956,048 and 77,711,996.80

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Solution

The fourth proportional to 77,711,996.80, 108,956,048 and 77,711,996.80 is: 108,956,048

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,711,996.80 : 108,956,048 = 77,711,996.80 : x
  2. Step 2: Convert to fraction form
    77,711,996.80/108,956,048 = 77,711,996.80/x
  3. Step 3: Cross multiply
    77,711,996.80x = 108,956,048 × 77,711,996.80
  4. Step 4: Simplify right side
    77,711,996.80x = 8,467,192,053,516,646
  5. Step 5: Solve for x
    x = 8,467,192,053,516,646/77,711,996.80
  6. Step 6: Final answer
    x = 108,956,048

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.