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Finding the Fourth Proportional to 883,062,406,246.20, 1,324,593,609,369.30 and 883,062,406,246.20

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Solution

The fourth proportional to 883,062,406,246.20, 1,324,593,609,369.30 and 883,062,406,246.20 is: 1,324,593,609,369.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,062,406,246.20 : 1,324,593,609,369.30 = 883,062,406,246.20 : x
  2. Step 2: Convert to fraction form
    883,062,406,246.20/1,324,593,609,369.30 = 883,062,406,246.20/x
  3. Step 3: Cross multiply
    883,062,406,246.20x = 1,324,593,609,369.30 × 883,062,406,246.20
  4. Step 4: Simplify right side
    883,062,406,246.20x = 1,169,698,819,987,993,098,452,992
  5. Step 5: Solve for x
    x = 1,169,698,819,987,993,098,452,992/883,062,406,246.20
  6. Step 6: Final answer
    x = 1,324,593,609,369.30

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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.