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Finding the Fourth Proportional to 299,295,195.90, 448,942,793.85 and 197,174,543.10

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Solution

The fourth proportional to 299,295,195.90, 448,942,793.85 and 197,174,543.10 is: 295,761,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,295,195.90 : 448,942,793.85 = 197,174,543.10 : x
  2. Step 2: Convert to fraction form
    299,295,195.90/448,942,793.85 = 197,174,543.10/x
  3. Step 3: Cross multiply
    299,295,195.90x = 448,942,793.85 × 197,174,543.10
  4. Step 4: Simplify right side
    299,295,195.90x = 88,520,090,255,411,248
  5. Step 5: Solve for x
    x = 88,520,090,255,411,248/299,295,195.90
  6. Step 6: Final answer
    x = 295,761,814.65

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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.