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Finding the Fourth Proportional to 330,804,571.80, 496,206,857.70 and 314,932,200.60

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Solution

The fourth proportional to 330,804,571.80, 496,206,857.70 and 314,932,200.60 is: 472,398,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,804,571.80 : 496,206,857.70 = 314,932,200.60 : x
  2. Step 2: Convert to fraction form
    330,804,571.80/496,206,857.70 = 314,932,200.60/x
  3. Step 3: Cross multiply
    330,804,571.80x = 496,206,857.70 × 314,932,200.60
  4. Step 4: Simplify right side
    330,804,571.80x = 156,271,517,648,272,064
  5. Step 5: Solve for x
    x = 156,271,517,648,272,064/330,804,571.80
  6. Step 6: Final answer
    x = 472,398,300.90

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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.