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Finding the Fourth Proportional to 68,952,753,315.15, 103,429,129,972.73 and 68,952,753,315.15

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Solution

The fourth proportional to 68,952,753,315.15, 103,429,129,972.73 and 68,952,753,315.15 is: 103,429,129,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,952,753,315.15 : 103,429,129,972.73 = 68,952,753,315.15 : x
  2. Step 2: Convert to fraction form
    68,952,753,315.15/103,429,129,972.73 = 68,952,753,315.15/x
  3. Step 3: Cross multiply
    68,952,753,315.15x = 103,429,129,972.73 × 68,952,753,315.15
  4. Step 4: Simplify right side
    68,952,753,315.15x = 7,131,723,284,610,237,333,504
  5. Step 5: Solve for x
    x = 7,131,723,284,610,237,333,504/68,952,753,315.15
  6. Step 6: Final answer
    x = 103,429,129,972.73

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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.