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Finding the Fourth Proportional to 170,056,128,015.70, 255,084,192,023.55 and 170,056,128,015.70

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Solution

The fourth proportional to 170,056,128,015.70, 255,084,192,023.55 and 170,056,128,015.70 is: 255,084,192,023.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,056,128,015.70 : 255,084,192,023.55 = 170,056,128,015.70 : x
  2. Step 2: Convert to fraction form
    170,056,128,015.70/255,084,192,023.55 = 170,056,128,015.70/x
  3. Step 3: Cross multiply
    170,056,128,015.70x = 255,084,192,023.55 × 170,056,128,015.70
  4. Step 4: Simplify right side
    170,056,128,015.70x = 43,378,630,013,538,222,997,504
  5. Step 5: Solve for x
    x = 43,378,630,013,538,222,997,504/170,056,128,015.70
  6. Step 6: Final answer
    x = 255,084,192,023.55

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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.