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Finding the Fourth Proportional to 275,461,604.40, 413,192,406.60 and 242,205,207.60

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Solution

The fourth proportional to 275,461,604.40, 413,192,406.60 and 242,205,207.60 is: 363,307,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,461,604.40 : 413,192,406.60 = 242,205,207.60 : x
  2. Step 2: Convert to fraction form
    275,461,604.40/413,192,406.60 = 242,205,207.60/x
  3. Step 3: Cross multiply
    275,461,604.40x = 413,192,406.60 × 242,205,207.60
  4. Step 4: Simplify right side
    275,461,604.40x = 100,077,352,619,296,608
  5. Step 5: Solve for x
    x = 100,077,352,619,296,608/275,461,604.40
  6. Step 6: Final answer
    x = 363,307,811.40

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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.