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Finding the Fourth Proportional to 504,883,231.80, 757,324,847.70 and 452,164,284.60

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Solution

The fourth proportional to 504,883,231.80, 757,324,847.70 and 452,164,284.60 is: 678,246,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,883,231.80 : 757,324,847.70 = 452,164,284.60 : x
  2. Step 2: Convert to fraction form
    504,883,231.80/757,324,847.70 = 452,164,284.60/x
  3. Step 3: Cross multiply
    504,883,231.80x = 757,324,847.70 × 452,164,284.60
  4. Step 4: Simplify right side
    504,883,231.80x = 342,435,247,970,074,496
  5. Step 5: Solve for x
    x = 342,435,247,970,074,496/504,883,231.80
  6. Step 6: Final answer
    x = 678,246,426.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.