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Finding the Fourth Proportional to 188,250,267,413.40, 282,375,401,120.10 and 188,250,267,413.40

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Solution

The fourth proportional to 188,250,267,413.40, 282,375,401,120.10 and 188,250,267,413.40 is: 282,375,401,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,250,267,413.40 : 282,375,401,120.10 = 188,250,267,413.40 : x
  2. Step 2: Convert to fraction form
    188,250,267,413.40/282,375,401,120.10 = 188,250,267,413.40/x
  3. Step 3: Cross multiply
    188,250,267,413.40x = 282,375,401,120.10 × 188,250,267,413.40
  4. Step 4: Simplify right side
    188,250,267,413.40x = 53,157,244,771,824,906,010,624
  5. Step 5: Solve for x
    x = 53,157,244,771,824,906,010,624/188,250,267,413.40
  6. Step 6: Final answer
    x = 282,375,401,120.10

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1.5x scale

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.