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Finding the Fourth Proportional to 3,982,854,703.20, 5,565,112,672.80 and 3,982,854,703.20

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Solution

The fourth proportional to 3,982,854,703.20, 5,565,112,672.80 and 3,982,854,703.20 is: 5,565,112,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982,854,703.20 : 5,565,112,672.80 = 3,982,854,703.20 : x
  2. Step 2: Convert to fraction form
    3,982,854,703.20/5,565,112,672.80 = 3,982,854,703.20/x
  3. Step 3: Cross multiply
    3,982,854,703.20x = 5,565,112,672.80 × 3,982,854,703.20
  4. Step 4: Simplify right side
    3,982,854,703.20x = 22,165,035,182,699,401,216
  5. Step 5: Solve for x
    x = 22,165,035,182,699,401,216/3,982,854,703.20
  6. Step 6: Final answer
    x = 5,565,112,672.80

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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.