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Finding the Fourth Proportional to 10,865,159,737.20, 16,297,739,605.80 and 10,865,159,737.20

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Solution

The fourth proportional to 10,865,159,737.20, 16,297,739,605.80 and 10,865,159,737.20 is: 16,297,739,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865,159,737.20 : 16,297,739,605.80 = 10,865,159,737.20 : x
  2. Step 2: Convert to fraction form
    10,865,159,737.20/16,297,739,605.80 = 10,865,159,737.20/x
  3. Step 3: Cross multiply
    10,865,159,737.20x = 16,297,739,605.80 × 10,865,159,737.20
  4. Step 4: Simplify right side
    10,865,159,737.20x = 177,077,544,172,307,972,096
  5. Step 5: Solve for x
    x = 177,077,544,172,307,972,096/10,865,159,737.20
  6. Step 6: Final answer
    x = 16,297,739,605.80

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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.