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Finding the Fourth Proportional to 255,084,192,002.05, 382,626,288,003.10 and 255,084,192,002.05

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Solution

The fourth proportional to 255,084,192,002.05, 382,626,288,003.10 and 255,084,192,002.05 is: 382,626,288,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,084,192,002.05 : 382,626,288,003.10 = 255,084,192,002.05 : x
  2. Step 2: Convert to fraction form
    255,084,192,002.05/382,626,288,003.10 = 255,084,192,002.05/x
  3. Step 3: Cross multiply
    255,084,192,002.05x = 382,626,288,003.10 × 255,084,192,002.05
  4. Step 4: Simplify right side
    255,084,192,002.05x = 97,601,917,514,014,431,117,312
  5. Step 5: Solve for x
    x = 97,601,917,514,014,431,117,312/255,084,192,002.05
  6. Step 6: Final answer
    x = 382,626,288,003.10

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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.