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Finding the Fourth Proportional to 382,648,765.20, 536,728,638 and 382,648,765.20

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Solution

The fourth proportional to 382,648,765.20, 536,728,638 and 382,648,765.20 is: 536,728,638

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,648,765.20 : 536,728,638 = 382,648,765.20 : x
  2. Step 2: Convert to fraction form
    382,648,765.20/536,728,638 = 382,648,765.20/x
  3. Step 3: Cross multiply
    382,648,765.20x = 536,728,638 × 382,648,765.20
  4. Step 4: Simplify right side
    382,648,765.20x = 205,378,550,578,177,792
  5. Step 5: Solve for x
    x = 205,378,550,578,177,792/382,648,765.20
  6. Step 6: Final answer
    x = 536,728,638

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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.