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Finding the Fourth Proportional to 356,498,496,732.90, 534,747,745,099.35 and 356,498,496,732.90

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Solution

The fourth proportional to 356,498,496,732.90, 534,747,745,099.35 and 356,498,496,732.90 is: 534,747,745,099.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,498,496,732.90 : 534,747,745,099.35 = 356,498,496,732.90 : x
  2. Step 2: Convert to fraction form
    356,498,496,732.90/534,747,745,099.35 = 356,498,496,732.90/x
  3. Step 3: Cross multiply
    356,498,496,732.90x = 534,747,745,099.35 × 356,498,496,732.90
  4. Step 4: Simplify right side
    356,498,496,732.90x = 190,636,767,259,226,275,840,000
  5. Step 5: Solve for x
    x = 190,636,767,259,226,275,840,000/356,498,496,732.90
  6. Step 6: Final answer
    x = 534,747,745,099.35

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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.