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Finding the Fourth Proportional to 382,648,768.70, 536,728,642.90 and 382,648,768.70

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Solution

The fourth proportional to 382,648,768.70, 536,728,642.90 and 382,648,768.70 is: 536,728,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,648,768.70 : 536,728,642.90 = 382,648,768.70 : x
  2. Step 2: Convert to fraction form
    382,648,768.70/536,728,642.90 = 382,648,768.70/x
  3. Step 3: Cross multiply
    382,648,768.70x = 536,728,642.90 × 382,648,768.70
  4. Step 4: Simplify right side
    382,648,768.70x = 205,378,554,331,706,976
  5. Step 5: Solve for x
    x = 205,378,554,331,706,976/382,648,768.70
  6. Step 6: Final answer
    x = 536,728,642.90

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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.