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Finding the Fourth Proportional to 283,608,224.40, 425,412,336.60 and 242,793,555.60

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Solution

The fourth proportional to 283,608,224.40, 425,412,336.60 and 242,793,555.60 is: 364,190,333.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,608,224.40 : 425,412,336.60 = 242,793,555.60 : x
  2. Step 2: Convert to fraction form
    283,608,224.40/425,412,336.60 = 242,793,555.60/x
  3. Step 3: Cross multiply
    283,608,224.40x = 425,412,336.60 × 242,793,555.60
  4. Step 4: Simplify right side
    283,608,224.40x = 103,287,373,799,218,016
  5. Step 5: Solve for x
    x = 103,287,373,799,218,016/283,608,224.40
  6. Step 6: Final answer
    x = 364,190,333.40

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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.