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Finding the Fourth Proportional to 382,648,739.20, 536,728,601.60 and 382,648,739.20

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Solution

The fourth proportional to 382,648,739.20, 536,728,601.60 and 382,648,739.20 is: 536,728,601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,648,739.20 : 536,728,601.60 = 382,648,739.20 : x
  2. Step 2: Convert to fraction form
    382,648,739.20/536,728,601.60 = 382,648,739.20/x
  3. Step 3: Cross multiply
    382,648,739.20x = 536,728,601.60 × 382,648,739.20
  4. Step 4: Simplify right side
    382,648,739.20x = 205,378,522,694,819,104
  5. Step 5: Solve for x
    x = 205,378,522,694,819,104/382,648,739.20
  6. Step 6: Final answer
    x = 536,728,601.60

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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.