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Finding the Fourth Proportional to 298,953,609.30, 448,430,413.95 and 298,953,609.30

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Solution

The fourth proportional to 298,953,609.30, 448,430,413.95 and 298,953,609.30 is: 448,430,413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,953,609.30 : 448,430,413.95 = 298,953,609.30 : x
  2. Step 2: Convert to fraction form
    298,953,609.30/448,430,413.95 = 298,953,609.30/x
  3. Step 3: Cross multiply
    298,953,609.30x = 448,430,413.95 × 298,953,609.30
  4. Step 4: Simplify right side
    298,953,609.30x = 134,059,890,770,245,568
  5. Step 5: Solve for x
    x = 134,059,890,770,245,568/298,953,609.30
  6. Step 6: Final answer
    x = 448,430,413.95

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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.