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Finding the Fourth Proportional to 197,864,253,003.60, 296,796,379,505.40 and 197,864,253,003.60

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Solution

The fourth proportional to 197,864,253,003.60, 296,796,379,505.40 and 197,864,253,003.60 is: 296,796,379,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,864,253,003.60 : 296,796,379,505.40 = 197,864,253,003.60 : x
  2. Step 2: Convert to fraction form
    197,864,253,003.60/296,796,379,505.40 = 197,864,253,003.60/x
  3. Step 3: Cross multiply
    197,864,253,003.60x = 296,796,379,505.40 × 197,864,253,003.60
  4. Step 4: Simplify right side
    197,864,253,003.60x = 58,725,393,925,008,957,374,464
  5. Step 5: Solve for x
    x = 58,725,393,925,008,957,374,464/197,864,253,003.60
  6. Step 6: Final answer
    x = 296,796,379,505.40

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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.