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Finding the Fourth Proportional to 590,132,284.70, 827,394,522.10 and 590,132,284.70

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Solution

The fourth proportional to 590,132,284.70, 827,394,522.10 and 590,132,284.70 is: 827,394,522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,132,284.70 : 827,394,522.10 = 590,132,284.70 : x
  2. Step 2: Convert to fraction form
    590,132,284.70/827,394,522.10 = 590,132,284.70/x
  3. Step 3: Cross multiply
    590,132,284.70x = 827,394,522.10 × 590,132,284.70
  4. Step 4: Simplify right side
    590,132,284.70x = 488,272,219,675,137,664
  5. Step 5: Solve for x
    x = 488,272,219,675,137,664/590,132,284.70
  6. Step 6: Final answer
    x = 827,394,522.10

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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.