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Finding the Fourth Proportional to 431,569,467.80, 647,354,201.70 and 395,856,632.60

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Solution

The fourth proportional to 431,569,467.80, 647,354,201.70 and 395,856,632.60 is: 593,784,948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,569,467.80 : 647,354,201.70 = 395,856,632.60 : x
  2. Step 2: Convert to fraction form
    431,569,467.80/647,354,201.70 = 395,856,632.60/x
  3. Step 3: Cross multiply
    431,569,467.80x = 647,354,201.70 × 395,856,632.60
  4. Step 4: Simplify right side
    431,569,467.80x = 256,259,454,384,423,232
  5. Step 5: Solve for x
    x = 256,259,454,384,423,232/431,569,467.80
  6. Step 6: Final answer
    x = 593,784,948.90

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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.