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Finding the Fourth Proportional to 122,486,268,608.10, 183,729,402,912.15 and 122,486,268,608.10

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Solution

The fourth proportional to 122,486,268,608.10, 183,729,402,912.15 and 122,486,268,608.10 is: 183,729,402,912.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,486,268,608.10 : 183,729,402,912.15 = 122,486,268,608.10 : x
  2. Step 2: Convert to fraction form
    122,486,268,608.10/183,729,402,912.15 = 122,486,268,608.10/x
  3. Step 3: Cross multiply
    122,486,268,608.10x = 183,729,402,912.15 × 122,486,268,608.10
  4. Step 4: Simplify right side
    122,486,268,608.10x = 22,504,328,996,303,434,416,128
  5. Step 5: Solve for x
    x = 22,504,328,996,303,434,416,128/122,486,268,608.10
  6. Step 6: Final answer
    x = 183,729,402,912.15

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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.