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Finding the Fourth Proportional to 512,510,976,051.40, 768,766,464,077.10 and 512,510,976,051.40

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Solution

The fourth proportional to 512,510,976,051.40, 768,766,464,077.10 and 512,510,976,051.40 is: 768,766,464,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,510,976,051.40 : 768,766,464,077.10 = 512,510,976,051.40 : x
  2. Step 2: Convert to fraction form
    512,510,976,051.40/768,766,464,077.10 = 512,510,976,051.40/x
  3. Step 3: Cross multiply
    512,510,976,051.40x = 768,766,464,077.10 × 512,510,976,051.40
  4. Step 4: Simplify right side
    512,510,976,051.40x = 394,001,250,859,738,040,631,296
  5. Step 5: Solve for x
    x = 394,001,250,859,738,040,631,296/512,510,976,051.40
  6. Step 6: Final answer
    x = 768,766,464,077.10

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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.