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Finding the Fourth Proportional to 202,113,608.80, 303,170,413.20 and 196,444,904.80

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Solution

The fourth proportional to 202,113,608.80, 303,170,413.20 and 196,444,904.80 is: 294,667,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,113,608.80 : 303,170,413.20 = 196,444,904.80 : x
  2. Step 2: Convert to fraction form
    202,113,608.80/303,170,413.20 = 196,444,904.80/x
  3. Step 3: Cross multiply
    202,113,608.80x = 303,170,413.20 × 196,444,904.80
  4. Step 4: Simplify right side
    202,113,608.80x = 59,556,282,959,250,664
  5. Step 5: Solve for x
    x = 59,556,282,959,250,664/202,113,608.80
  6. Step 6: Final answer
    x = 294,667,357.20

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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.