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Finding the Fourth Proportional to 102,930,363,034.80, 154,395,544,552.20 and 102,930,363,034.80

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Solution

The fourth proportional to 102,930,363,034.80, 154,395,544,552.20 and 102,930,363,034.80 is: 154,395,544,552.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,930,363,034.80 : 154,395,544,552.20 = 102,930,363,034.80 : x
  2. Step 2: Convert to fraction form
    102,930,363,034.80/154,395,544,552.20 = 102,930,363,034.80/x
  3. Step 3: Cross multiply
    102,930,363,034.80x = 154,395,544,552.20 × 102,930,363,034.80
  4. Step 4: Simplify right side
    102,930,363,034.80x = 15,891,989,451,713,586,135,040
  5. Step 5: Solve for x
    x = 15,891,989,451,713,586,135,040/102,930,363,034.80
  6. Step 6: Final answer
    x = 154,395,544,552.20

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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.