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Finding the Fourth Proportional to 255,084,192,003.78, 382,626,288,005.67 and 255,084,192,003.78

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Solution

The fourth proportional to 255,084,192,003.78, 382,626,288,005.67 and 255,084,192,003.78 is: 382,626,288,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,084,192,003.78 : 382,626,288,005.67 = 255,084,192,003.78 : x
  2. Step 2: Convert to fraction form
    255,084,192,003.78/382,626,288,005.67 = 255,084,192,003.78/x
  3. Step 3: Cross multiply
    255,084,192,003.78x = 382,626,288,005.67 × 255,084,192,003.78
  4. Step 4: Simplify right side
    255,084,192,003.78x = 97,601,917,515,331,945,889,792
  5. Step 5: Solve for x
    x = 97,601,917,515,331,945,889,792/255,084,192,003.78
  6. Step 6: Final answer
    x = 382,626,288,005.67

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1.5x scale

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.