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Finding the Fourth Proportional to 798,645,769.34, 1,102,188,193.50 and 441,405,860.90

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Solution

The fourth proportional to 798,645,769.34, 1,102,188,193.50 and 441,405,860.90 is: 609,171,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,645,769.34 : 1,102,188,193.50 = 441,405,860.90 : x
  2. Step 2: Convert to fraction form
    798,645,769.34/1,102,188,193.50 = 441,405,860.90/x
  3. Step 3: Cross multiply
    798,645,769.34x = 1,102,188,193.50 × 441,405,860.90
  4. Step 4: Simplify right side
    798,645,769.34x = 486,512,328,425,683,264
  5. Step 5: Solve for x
    x = 486,512,328,425,683,264/798,645,769.34
  6. Step 6: Final answer
    x = 609,171,609.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.