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Finding the Fourth Proportional to 393,661,109.60, 590,491,664.40 and 284,255,122.40

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Solution

The fourth proportional to 393,661,109.60, 590,491,664.40 and 284,255,122.40 is: 426,382,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,661,109.60 : 590,491,664.40 = 284,255,122.40 : x
  2. Step 2: Convert to fraction form
    393,661,109.60/590,491,664.40 = 284,255,122.40/x
  3. Step 3: Cross multiply
    393,661,109.60x = 590,491,664.40 × 284,255,122.40
  4. Step 4: Simplify right side
    393,661,109.60x = 167,850,280,340,201,696
  5. Step 5: Solve for x
    x = 167,850,280,340,201,696/393,661,109.60
  6. Step 6: Final answer
    x = 426,382,683.60

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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.