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Finding the Fourth Proportional to 299,000,001.09, 448,500,001.63 and 299,000,001.09

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Solution

The fourth proportional to 299,000,001.09, 448,500,001.63 and 299,000,001.09 is: 448,500,001.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,000,001.09 : 448,500,001.63 = 299,000,001.09 : x
  2. Step 2: Convert to fraction form
    299,000,001.09/448,500,001.63 = 299,000,001.09/x
  3. Step 3: Cross multiply
    299,000,001.09x = 448,500,001.63 × 299,000,001.09
  4. Step 4: Simplify right side
    299,000,001.09x = 134,101,500,976,234,992
  5. Step 5: Solve for x
    x = 134,101,500,976,234,992/299,000,001.09
  6. Step 6: Final answer
    x = 448,500,001.63

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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.