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Finding the Fourth Proportional to 122,486,285,211.60, 183,729,427,817.40 and 122,486,285,211.60

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Solution

The fourth proportional to 122,486,285,211.60, 183,729,427,817.40 and 122,486,285,211.60 is: 183,729,427,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,486,285,211.60 : 183,729,427,817.40 = 122,486,285,211.60 : x
  2. Step 2: Convert to fraction form
    122,486,285,211.60/183,729,427,817.40 = 122,486,285,211.60/x
  3. Step 3: Cross multiply
    122,486,285,211.60x = 183,729,427,817.40 × 122,486,285,211.60
  4. Step 4: Simplify right side
    122,486,285,211.60x = 22,504,335,097,406,131,535,872
  5. Step 5: Solve for x
    x = 22,504,335,097,406,131,535,872/122,486,285,211.60
  6. Step 6: Final answer
    x = 183,729,427,817.40

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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.