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Finding the Fourth Proportional to 534,993,604.40, 802,490,406.60 and 471,858,413.60

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Solution

The fourth proportional to 534,993,604.40, 802,490,406.60 and 471,858,413.60 is: 707,787,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,993,604.40 : 802,490,406.60 = 471,858,413.60 : x
  2. Step 2: Convert to fraction form
    534,993,604.40/802,490,406.60 = 471,858,413.60/x
  3. Step 3: Cross multiply
    534,993,604.40x = 802,490,406.60 × 471,858,413.60
  4. Step 4: Simplify right side
    534,993,604.40x = 378,661,850,187,494,976
  5. Step 5: Solve for x
    x = 378,661,850,187,494,976/534,993,604.40
  6. Step 6: Final answer
    x = 707,787,620.40

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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.