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Finding the Fourth Proportional to 3,844,642,748.40, 5,394,744,248.40 and 3,844,642,748.40

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Solution

The fourth proportional to 3,844,642,748.40, 5,394,744,248.40 and 3,844,642,748.40 is: 5,394,744,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844,642,748.40 : 5,394,744,248.40 = 3,844,642,748.40 : x
  2. Step 2: Convert to fraction form
    3,844,642,748.40/5,394,744,248.40 = 3,844,642,748.40/x
  3. Step 3: Cross multiply
    3,844,642,748.40x = 5,394,744,248.40 × 3,844,642,748.40
  4. Step 4: Simplify right side
    3,844,642,748.40x = 20,740,864,354,083,667,968
  5. Step 5: Solve for x
    x = 20,740,864,354,083,667,968/3,844,642,748.40
  6. Step 6: Final answer
    x = 5,394,744,248.40

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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.