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Finding the Fourth Proportional to 279,342,056,548.60, 419,013,084,822.90 and 279,342,056,548.60

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Solution

The fourth proportional to 279,342,056,548.60, 419,013,084,822.90 and 279,342,056,548.60 is: 419,013,084,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,342,056,548.60 : 419,013,084,822.90 = 279,342,056,548.60 : x
  2. Step 2: Convert to fraction form
    279,342,056,548.60/419,013,084,822.90 = 279,342,056,548.60/x
  3. Step 3: Cross multiply
    279,342,056,548.60x = 419,013,084,822.90 × 279,342,056,548.60
  4. Step 4: Simplify right side
    279,342,056,548.60x = 117,047,976,835,201,852,506,112
  5. Step 5: Solve for x
    x = 117,047,976,835,201,852,506,112/279,342,056,548.60
  6. Step 6: Final answer
    x = 419,013,084,822.90

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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.