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Finding the Fourth Proportional to 3,669,786,085.23, 5,504,679,127.84 and 3,669,786,085.23

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Solution

The fourth proportional to 3,669,786,085.23, 5,504,679,127.84 and 3,669,786,085.23 is: 5,504,679,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,786,085.23 : 5,504,679,127.84 = 3,669,786,085.23 : x
  2. Step 2: Convert to fraction form
    3,669,786,085.23/5,504,679,127.84 = 3,669,786,085.23/x
  3. Step 3: Cross multiply
    3,669,786,085.23x = 5,504,679,127.84 × 3,669,786,085.23
  4. Step 4: Simplify right side
    3,669,786,085.23x = 20,200,994,867,003,244,544
  5. Step 5: Solve for x
    x = 20,200,994,867,003,244,544/3,669,786,085.23
  6. Step 6: Final answer
    x = 5,504,679,127.84

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Double scale
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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.