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Finding the Fourth Proportional to 547,289,093.44, 820,978,443.57 and 159,111,448.63

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Solution

The fourth proportional to 547,289,093.44, 820,978,443.57 and 159,111,448.63 is: 238,680,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,289,093.44 : 820,978,443.57 = 159,111,448.63 : x
  2. Step 2: Convert to fraction form
    547,289,093.44/820,978,443.57 = 159,111,448.63/x
  3. Step 3: Cross multiply
    547,289,093.44x = 820,978,443.57 × 159,111,448.63
  4. Step 4: Simplify right side
    547,289,093.44x = 130,627,069,450,425,408
  5. Step 5: Solve for x
    x = 130,627,069,450,425,408/547,289,093.44
  6. Step 6: Final answer
    x = 238,680,198.48

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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.