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Finding the Fourth Proportional to 188,250,267,411.90, 282,375,401,117.85 and 188,250,267,411.90

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Solution

The fourth proportional to 188,250,267,411.90, 282,375,401,117.85 and 188,250,267,411.90 is: 282,375,401,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,250,267,411.90 : 282,375,401,117.85 = 188,250,267,411.90 : x
  2. Step 2: Convert to fraction form
    188,250,267,411.90/282,375,401,117.85 = 188,250,267,411.90/x
  3. Step 3: Cross multiply
    188,250,267,411.90x = 282,375,401,117.85 × 188,250,267,411.90
  4. Step 4: Simplify right side
    188,250,267,411.90x = 53,157,244,770,977,782,431,744
  5. Step 5: Solve for x
    x = 53,157,244,770,977,782,431,744/188,250,267,411.90
  6. Step 6: Final answer
    x = 282,375,401,117.85

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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.