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Finding the Fourth Proportional to 420,059,051.60, 629,080,807.80 and 204,396,357.20

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Solution

The fourth proportional to 420,059,051.60, 629,080,807.80 and 204,396,357.20 is: 306,104,165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,059,051.60 : 629,080,807.80 = 204,396,357.20 : x
  2. Step 2: Convert to fraction form
    420,059,051.60/629,080,807.80 = 204,396,357.20/x
  3. Step 3: Cross multiply
    420,059,051.60x = 629,080,807.80 × 204,396,357.20
  4. Step 4: Simplify right side
    420,059,051.60x = 128,581,825,498,753,328
  5. Step 5: Solve for x
    x = 128,581,825,498,753,328/420,059,051.60
  6. Step 6: Final answer
    x = 306,104,165.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.