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Finding the Fourth Proportional to 74,482,685,381.70, 111,724,028,072.55 and 74,482,685,381.70

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Solution

The fourth proportional to 74,482,685,381.70, 111,724,028,072.55 and 74,482,685,381.70 is: 111,724,028,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,482,685,381.70 : 111,724,028,072.55 = 74,482,685,381.70 : x
  2. Step 2: Convert to fraction form
    74,482,685,381.70/111,724,028,072.55 = 74,482,685,381.70/x
  3. Step 3: Cross multiply
    74,482,685,381.70x = 111,724,028,072.55 × 74,482,685,381.70
  4. Step 4: Simplify right side
    74,482,685,381.70x = 8,321,505,632,503,959,912,448
  5. Step 5: Solve for x
    x = 8,321,505,632,503,959,912,448/74,482,685,381.70
  6. Step 6: Final answer
    x = 111,724,028,072.55

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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.