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Finding the Fourth Proportional to 57,302,413.60, 85,764,663.60 and 40,296,301.60

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Solution

The fourth proportional to 57,302,413.60, 85,764,663.60 and 40,296,301.60 is: 60,311,573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,302,413.60 : 85,764,663.60 = 40,296,301.60 : x
  2. Step 2: Convert to fraction form
    57,302,413.60/85,764,663.60 = 40,296,301.60/x
  3. Step 3: Cross multiply
    57,302,413.60x = 85,764,663.60 × 40,296,301.60
  4. Step 4: Simplify right side
    57,302,413.60x = 3,455,998,751,048,141.50
  5. Step 5: Solve for x
    x = 3,455,998,751,048,141.50/57,302,413.60
  6. Step 6: Final answer
    x = 60,311,573.87

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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.