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Finding the Fourth Proportional to 148,396,103,999.78, 222,594,155,999.67 and 148,396,103,999.78

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Solution

The fourth proportional to 148,396,103,999.78, 222,594,155,999.67 and 148,396,103,999.78 is: 222,594,155,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,396,103,999.78 : 222,594,155,999.67 = 148,396,103,999.78 : x
  2. Step 2: Convert to fraction form
    148,396,103,999.78/222,594,155,999.67 = 148,396,103,999.78/x
  3. Step 3: Cross multiply
    148,396,103,999.78x = 222,594,155,999.67 × 148,396,103,999.78
  4. Step 4: Simplify right side
    148,396,103,999.78x = 33,032,105,523,470,286,192,640
  5. Step 5: Solve for x
    x = 33,032,105,523,470,286,192,640/148,396,103,999.78
  6. Step 6: Final answer
    x = 222,594,155,999.67

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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.