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Finding the Fourth Proportional to 279,406,467,340.20, 419,109,701,010.30 and 279,406,467,340.20

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Solution

The fourth proportional to 279,406,467,340.20, 419,109,701,010.30 and 279,406,467,340.20 is: 419,109,701,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,406,467,340.20 : 419,109,701,010.30 = 279,406,467,340.20 : x
  2. Step 2: Convert to fraction form
    279,406,467,340.20/419,109,701,010.30 = 279,406,467,340.20/x
  3. Step 3: Cross multiply
    279,406,467,340.20x = 419,109,701,010.30 × 279,406,467,340.20
  4. Step 4: Simplify right side
    279,406,467,340.20x = 117,101,960,987,295,373,852,672
  5. Step 5: Solve for x
    x = 117,101,960,987,295,373,852,672/279,406,467,340.20
  6. Step 6: Final answer
    x = 419,109,701,010.30

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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.