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Finding the Fourth Proportional to 382,648,809.20, 536,728,699.60 and 382,648,809.20

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Solution

The fourth proportional to 382,648,809.20, 536,728,699.60 and 382,648,809.20 is: 536,728,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,648,809.20 : 536,728,699.60 = 382,648,809.20 : x
  2. Step 2: Convert to fraction form
    382,648,809.20/536,728,699.60 = 382,648,809.20/x
  3. Step 3: Cross multiply
    382,648,809.20x = 536,728,699.60 × 382,648,809.20
  4. Step 4: Simplify right side
    382,648,809.20x = 205,378,597,765,404,512
  5. Step 5: Solve for x
    x = 205,378,597,765,404,512/382,648,809.20
  6. Step 6: Final answer
    x = 536,728,699.60

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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.