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Finding the Fourth Proportional to 356,498,496,737.53, 534,747,745,106.30 and 356,498,496,737.53

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Solution

The fourth proportional to 356,498,496,737.53, 534,747,745,106.30 and 356,498,496,737.53 is: 534,747,745,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,498,496,737.53 : 534,747,745,106.30 = 356,498,496,737.53 : x
  2. Step 2: Convert to fraction form
    356,498,496,737.53/534,747,745,106.30 = 356,498,496,737.53/x
  3. Step 3: Cross multiply
    356,498,496,737.53x = 534,747,745,106.30 × 356,498,496,737.53
  4. Step 4: Simplify right side
    356,498,496,737.53x = 190,636,767,264,179,815,972,864
  5. Step 5: Solve for x
    x = 190,636,767,264,179,815,972,864/356,498,496,737.53
  6. Step 6: Final answer
    x = 534,747,745,106.30

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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.