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Finding the Fourth Proportional to 3,632,213,888, 5,448,320,891.76 and 871,842,900.32

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Solution

The fourth proportional to 3,632,213,888, 5,448,320,891.76 and 871,842,900.32 is: 1,307,764,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632,213,888 : 5,448,320,891.76 = 871,842,900.32 : x
  2. Step 2: Convert to fraction form
    3,632,213,888/5,448,320,891.76 = 871,842,900.32/x
  3. Step 3: Cross multiply
    3,632,213,888x = 5,448,320,891.76 × 871,842,900.32
  4. Step 4: Simplify right side
    3,632,213,888x = 4,750,079,888,146,087,936
  5. Step 5: Solve for x
    x = 4,750,079,888,146,087,936/3,632,213,888
  6. Step 6: Final answer
    x = 1,307,764,364.82

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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.