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Finding the Fourth Proportional to 255,084,192,033.02, 382,626,288,049.53 and 255,084,192,033.02

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Solution

The fourth proportional to 255,084,192,033.02, 382,626,288,049.53 and 255,084,192,033.02 is: 382,626,288,049.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,084,192,033.02 : 382,626,288,049.53 = 255,084,192,033.02 : x
  2. Step 2: Convert to fraction form
    255,084,192,033.02/382,626,288,049.53 = 255,084,192,033.02/x
  3. Step 3: Cross multiply
    255,084,192,033.02x = 382,626,288,049.53 × 255,084,192,033.02
  4. Step 4: Simplify right side
    255,084,192,033.02x = 97,601,917,537,707,936,972,800
  5. Step 5: Solve for x
    x = 97,601,917,537,707,936,972,800/255,084,192,033.02
  6. Step 6: Final answer
    x = 382,626,288,049.53

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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.