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Finding the Fourth Proportional to 325,596,595.80, 488,394,893.70 and 196,456,432.80

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Solution

The fourth proportional to 325,596,595.80, 488,394,893.70 and 196,456,432.80 is: 294,684,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,596,595.80 : 488,394,893.70 = 196,456,432.80 : x
  2. Step 2: Convert to fraction form
    325,596,595.80/488,394,893.70 = 196,456,432.80/x
  3. Step 3: Cross multiply
    325,596,595.80x = 488,394,893.70 × 196,456,432.80
  4. Step 4: Simplify right side
    325,596,595.80x = 95,948,318,614,037,200
  5. Step 5: Solve for x
    x = 95,948,318,614,037,200/325,596,595.80
  6. Step 6: Final answer
    x = 294,684,649.20

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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.