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Finding the Fourth Proportional to 590,135,180.20, 827,398,575.80 and 590,135,180.20

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Solution

The fourth proportional to 590,135,180.20, 827,398,575.80 and 590,135,180.20 is: 827,398,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,135,180.20 : 827,398,575.80 = 590,135,180.20 : x
  2. Step 2: Convert to fraction form
    590,135,180.20/827,398,575.80 = 590,135,180.20/x
  3. Step 3: Cross multiply
    590,135,180.20x = 827,398,575.80 × 590,135,180.20
  4. Step 4: Simplify right side
    590,135,180.20x = 488,277,007,626,956,352
  5. Step 5: Solve for x
    x = 488,277,007,626,956,352/590,135,180.20
  6. Step 6: Final answer
    x = 827,398,575.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.