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Finding the Fourth Proportional to 442,943,458.80, 664,415,188.20 and 442,943,458.80

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Solution

The fourth proportional to 442,943,458.80, 664,415,188.20 and 442,943,458.80 is: 664,415,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,943,458.80 : 664,415,188.20 = 442,943,458.80 : x
  2. Step 2: Convert to fraction form
    442,943,458.80/664,415,188.20 = 442,943,458.80/x
  3. Step 3: Cross multiply
    442,943,458.80x = 664,415,188.20 × 442,943,458.80
  4. Step 4: Simplify right side
    442,943,458.80x = 294,298,361,540,560,960
  5. Step 5: Solve for x
    x = 294,298,361,540,560,960/442,943,458.80
  6. Step 6: Final answer
    x = 664,415,188.20

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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.