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Finding the Fourth Proportional to 279,342,056,550.60, 419,013,084,825.90 and 279,342,056,550.60

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Solution

The fourth proportional to 279,342,056,550.60, 419,013,084,825.90 and 279,342,056,550.60 is: 419,013,084,825.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,342,056,550.60 : 419,013,084,825.90 = 279,342,056,550.60 : x
  2. Step 2: Convert to fraction form
    279,342,056,550.60/419,013,084,825.90 = 279,342,056,550.60/x
  3. Step 3: Cross multiply
    279,342,056,550.60x = 419,013,084,825.90 × 279,342,056,550.60
  4. Step 4: Simplify right side
    279,342,056,550.60x = 117,047,976,836,877,913,161,728
  5. Step 5: Solve for x
    x = 117,047,976,836,877,913,161,728/279,342,056,550.60
  6. Step 6: Final answer
    x = 419,013,084,825.90

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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.