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Finding the Fourth Proportional to 5,632,673,904,005.20, 8,449,010,856,007.60 and 5,632,673,904,005.20

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Solution

The fourth proportional to 5,632,673,904,005.20, 8,449,010,856,007.60 and 5,632,673,904,005.20 is: 8,449,010,856,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632,673,904,005.20 : 8,449,010,856,007.60 = 5,632,673,904,005.20 : x
  2. Step 2: Convert to fraction form
    5,632,673,904,005.20/8,449,010,856,007.60 = 5,632,673,904,005.20/x
  3. Step 3: Cross multiply
    5,632,673,904,005.20x = 8,449,010,856,007.60 × 5,632,673,904,005.20
  4. Step 4: Simplify right side
    5,632,673,904,005.20x = 47,590,522,963,290,645,598,306,304
  5. Step 5: Solve for x
    x = 47,590,522,963,290,645,598,306,304/5,632,673,904,005.20
  6. Step 6: Final answer
    x = 8,449,010,856,007.60

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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.