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Finding the Fourth Proportional to 271,502,274.70, 407,253,412.05 and 98,984,716.30

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Solution

The fourth proportional to 271,502,274.70, 407,253,412.05 and 98,984,716.30 is: 148,477,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,502,274.70 : 407,253,412.05 = 98,984,716.30 : x
  2. Step 2: Convert to fraction form
    271,502,274.70/407,253,412.05 = 98,984,716.30/x
  3. Step 3: Cross multiply
    271,502,274.70x = 407,253,412.05 × 98,984,716.30
  4. Step 4: Simplify right side
    271,502,274.70x = 40,311,863,453,976,248
  5. Step 5: Solve for x
    x = 40,311,863,453,976,248/271,502,274.70
  6. Step 6: Final answer
    x = 148,477,074.45

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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.