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Finding the Fourth Proportional to 296,978,720.40, 445,468,080.60 and 220,451,216.40

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Solution

The fourth proportional to 296,978,720.40, 445,468,080.60 and 220,451,216.40 is: 330,676,824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,978,720.40 : 445,468,080.60 = 220,451,216.40 : x
  2. Step 2: Convert to fraction form
    296,978,720.40/445,468,080.60 = 220,451,216.40/x
  3. Step 3: Cross multiply
    296,978,720.40x = 445,468,080.60 × 220,451,216.40
  4. Step 4: Simplify right side
    296,978,720.40x = 98,203,980,235,643,248
  5. Step 5: Solve for x
    x = 98,203,980,235,643,248/296,978,720.40
  6. Step 6: Final answer
    x = 330,676,824.60

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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.