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Finding the Fourth Proportional to 196,991,998.80, 295,487,998.20 and 106,292,734.80

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Solution

The fourth proportional to 196,991,998.80, 295,487,998.20 and 106,292,734.80 is: 159,439,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,991,998.80 : 295,487,998.20 = 106,292,734.80 : x
  2. Step 2: Convert to fraction form
    196,991,998.80/295,487,998.20 = 106,292,734.80/x
  3. Step 3: Cross multiply
    196,991,998.80x = 295,487,998.20 × 106,292,734.80
  4. Step 4: Simplify right side
    196,991,998.80x = 31,408,227,429,255,476
  5. Step 5: Solve for x
    x = 31,408,227,429,255,476/196,991,998.80
  6. Step 6: Final answer
    x = 159,439,102.20

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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.