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Finding the Fourth Proportional to 356,498,496,738.40, 534,747,745,107.60 and 356,498,496,738.40

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Solution

The fourth proportional to 356,498,496,738.40, 534,747,745,107.60 and 356,498,496,738.40 is: 534,747,745,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,498,496,738.40 : 534,747,745,107.60 = 356,498,496,738.40 : x
  2. Step 2: Convert to fraction form
    356,498,496,738.40/534,747,745,107.60 = 356,498,496,738.40/x
  3. Step 3: Cross multiply
    356,498,496,738.40x = 534,747,745,107.60 × 356,498,496,738.40
  4. Step 4: Simplify right side
    356,498,496,738.40x = 190,636,767,265,108,501,987,328
  5. Step 5: Solve for x
    x = 190,636,767,265,108,501,987,328/356,498,496,738.40
  6. Step 6: Final answer
    x = 534,747,745,107.60

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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.