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Finding the Fourth Proportional to 188,250,267,411.15, 282,375,401,116.72 and 188,250,267,411.15

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Solution

The fourth proportional to 188,250,267,411.15, 282,375,401,116.72 and 188,250,267,411.15 is: 282,375,401,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,250,267,411.15 : 282,375,401,116.72 = 188,250,267,411.15 : x
  2. Step 2: Convert to fraction form
    188,250,267,411.15/282,375,401,116.72 = 188,250,267,411.15/x
  3. Step 3: Cross multiply
    188,250,267,411.15x = 282,375,401,116.72 × 188,250,267,411.15
  4. Step 4: Simplify right side
    188,250,267,411.15x = 53,157,244,770,553,276,923,904
  5. Step 5: Solve for x
    x = 53,157,244,770,553,276,923,904/188,250,267,411.15
  6. Step 6: Final answer
    x = 282,375,401,116.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.