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Finding the Fourth Proportional to 271,502,409.20, 407,253,613.80 and 98,984,850.80

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Solution

The fourth proportional to 271,502,409.20, 407,253,613.80 and 98,984,850.80 is: 148,477,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,502,409.20 : 407,253,613.80 = 98,984,850.80 : x
  2. Step 2: Convert to fraction form
    271,502,409.20/407,253,613.80 = 98,984,850.80/x
  3. Step 3: Cross multiply
    271,502,409.20x = 407,253,613.80 × 98,984,850.80
  4. Step 4: Simplify right side
    271,502,409.20x = 40,311,938,199,753,824
  5. Step 5: Solve for x
    x = 40,311,938,199,753,824/271,502,409.20
  6. Step 6: Final answer
    x = 148,477,276.20

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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.