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Finding the Fourth Proportional to 107,889,408,093.60, 161,616,433,906.80 and 107,889,408,093.60

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Solution

The fourth proportional to 107,889,408,093.60, 161,616,433,906.80 and 107,889,408,093.60 is: 161,616,433,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,889,408,093.60 : 161,616,433,906.80 = 107,889,408,093.60 : x
  2. Step 2: Convert to fraction form
    107,889,408,093.60/161,616,433,906.80 = 107,889,408,093.60/x
  3. Step 3: Cross multiply
    107,889,408,093.60x = 161,616,433,906.80 × 107,889,408,093.60
  4. Step 4: Simplify right side
    107,889,408,093.60x = 17,436,701,392,403,077,005,312
  5. Step 5: Solve for x
    x = 17,436,701,392,403,077,005,312/107,889,408,093.60
  6. Step 6: Final answer
    x = 161,616,433,906.80

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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.