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Finding the Fourth Proportional to 321,798,625.60, 482,949,880.80 and 149,296,813.60

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Solution

The fourth proportional to 321,798,625.60, 482,949,880.80 and 149,296,813.60 is: 224,062,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,798,625.60 : 482,949,880.80 = 149,296,813.60 : x
  2. Step 2: Convert to fraction form
    321,798,625.60/482,949,880.80 = 149,296,813.60/x
  3. Step 3: Cross multiply
    321,798,625.60x = 482,949,880.80 × 149,296,813.60
  4. Step 4: Simplify right side
    321,798,625.60x = 72,102,878,331,939,824
  5. Step 5: Solve for x
    x = 72,102,878,331,939,824/321,798,625.60
  6. Step 6: Final answer
    x = 224,062,107.78

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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.