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Finding the Fourth Proportional to 347,680,646,495.80, 521,520,969,743.70 and 347,680,646,495.80

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Solution

The fourth proportional to 347,680,646,495.80, 521,520,969,743.70 and 347,680,646,495.80 is: 521,520,969,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,680,646,495.80 : 521,520,969,743.70 = 347,680,646,495.80 : x
  2. Step 2: Convert to fraction form
    347,680,646,495.80/521,520,969,743.70 = 347,680,646,495.80/x
  3. Step 3: Cross multiply
    347,680,646,495.80x = 521,520,969,743.70 × 347,680,646,495.80
  4. Step 4: Simplify right side
    347,680,646,495.80x = 181,322,747,921,606,161,465,344
  5. Step 5: Solve for x
    x = 181,322,747,921,606,161,465,344/347,680,646,495.80
  6. Step 6: Final answer
    x = 521,520,969,743.70

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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.