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Finding the Fourth Proportional to 3,669,786,011.48, 5,504,679,017.21 and 3,669,786,011.48

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Solution

The fourth proportional to 3,669,786,011.48, 5,504,679,017.21 and 3,669,786,011.48 is: 5,504,679,017.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,786,011.48 : 5,504,679,017.21 = 3,669,786,011.48 : x
  2. Step 2: Convert to fraction form
    3,669,786,011.48/5,504,679,017.21 = 3,669,786,011.48/x
  3. Step 3: Cross multiply
    3,669,786,011.48x = 5,504,679,017.21 × 3,669,786,011.48
  4. Step 4: Simplify right side
    3,669,786,011.48x = 20,200,994,055,026,380,800
  5. Step 5: Solve for x
    x = 20,200,994,055,026,380,800/3,669,786,011.48
  6. Step 6: Final answer
    x = 5,504,679,017.21

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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.