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Finding the Fourth Proportional to 457,922,503.40, 686,883,755.10 and 274,256,493.80

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Solution

The fourth proportional to 457,922,503.40, 686,883,755.10 and 274,256,493.80 is: 411,384,740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,922,503.40 : 686,883,755.10 = 274,256,493.80 : x
  2. Step 2: Convert to fraction form
    457,922,503.40/686,883,755.10 = 274,256,493.80/x
  3. Step 3: Cross multiply
    457,922,503.40x = 686,883,755.10 × 274,256,493.80
  4. Step 4: Simplify right side
    457,922,503.40x = 188,382,330,321,903,872
  5. Step 5: Solve for x
    x = 188,382,330,321,903,872/457,922,503.40
  6. Step 6: Final answer
    x = 411,384,740.70

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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.