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Finding the Fourth Proportional to 270,668,747,265.23, 406,003,120,897.84 and 270,668,747,265.23

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Solution

The fourth proportional to 270,668,747,265.23, 406,003,120,897.84 and 270,668,747,265.23 is: 406,003,120,897.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,668,747,265.23 : 406,003,120,897.84 = 270,668,747,265.23 : x
  2. Step 2: Convert to fraction form
    270,668,747,265.23/406,003,120,897.84 = 270,668,747,265.23/x
  3. Step 3: Cross multiply
    270,668,747,265.23x = 406,003,120,897.84 × 270,668,747,265.23
  4. Step 4: Simplify right side
    270,668,747,265.23x = 109,892,356,119,192,093,589,504
  5. Step 5: Solve for x
    x = 109,892,356,119,192,093,589,504/270,668,747,265.23
  6. Step 6: Final answer
    x = 406,003,120,897.84

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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.