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Finding the Fourth Proportional to 34,136,763,377.70, 51,205,145,066.55 and 34,136,763,377.70

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Solution

The fourth proportional to 34,136,763,377.70, 51,205,145,066.55 and 34,136,763,377.70 is: 51,205,145,066.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,136,763,377.70 : 51,205,145,066.55 = 34,136,763,377.70 : x
  2. Step 2: Convert to fraction form
    34,136,763,377.70/51,205,145,066.55 = 34,136,763,377.70/x
  3. Step 3: Cross multiply
    34,136,763,377.70x = 51,205,145,066.55 × 34,136,763,377.70
  4. Step 4: Simplify right side
    34,136,763,377.70x = 1,747,977,920,857,620,086,784
  5. Step 5: Solve for x
    x = 1,747,977,920,857,620,086,784/34,136,763,377.70
  6. Step 6: Final answer
    x = 51,205,145,066.55

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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.