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Finding the Fourth Proportional to 128,715,696,441.60, 193,073,544,662.40 and 128,715,696,441.60

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Solution

The fourth proportional to 128,715,696,441.60, 193,073,544,662.40 and 128,715,696,441.60 is: 193,073,544,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,715,696,441.60 : 193,073,544,662.40 = 128,715,696,441.60 : x
  2. Step 2: Convert to fraction form
    128,715,696,441.60/193,073,544,662.40 = 128,715,696,441.60/x
  3. Step 3: Cross multiply
    128,715,696,441.60x = 193,073,544,662.40 × 128,715,696,441.60
  4. Step 4: Simplify right side
    128,715,696,441.60x = 24,851,595,765,669,179,686,912
  5. Step 5: Solve for x
    x = 24,851,595,765,669,179,686,912/128,715,696,441.60
  6. Step 6: Final answer
    x = 193,073,544,662.40

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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.