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Finding the Fourth Proportional to 264,193,080.80, 396,289,621.20 and 160,880,950.40

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Solution

The fourth proportional to 264,193,080.80, 396,289,621.20 and 160,880,950.40 is: 241,321,425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,193,080.80 : 396,289,621.20 = 160,880,950.40 : x
  2. Step 2: Convert to fraction form
    264,193,080.80/396,289,621.20 = 160,880,950.40/x
  3. Step 3: Cross multiply
    264,193,080.80x = 396,289,621.20 × 160,880,950.40
  4. Step 4: Simplify right side
    264,193,080.80x = 63,755,450,892,311,992
  5. Step 5: Solve for x
    x = 63,755,450,892,311,992/264,193,080.80
  6. Step 6: Final answer
    x = 241,321,425.60

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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.