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Finding the Fourth Proportional to 54,302,108,793.30, 81,453,163,189.95 and 54,302,108,793.30

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Solution

The fourth proportional to 54,302,108,793.30, 81,453,163,189.95 and 54,302,108,793.30 is: 81,453,163,189.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,302,108,793.30 : 81,453,163,189.95 = 54,302,108,793.30 : x
  2. Step 2: Convert to fraction form
    54,302,108,793.30/81,453,163,189.95 = 54,302,108,793.30/x
  3. Step 3: Cross multiply
    54,302,108,793.30x = 81,453,163,189.95 × 54,302,108,793.30
  4. Step 4: Simplify right side
    54,302,108,793.30x = 4,423,078,529,099,083,808,768
  5. Step 5: Solve for x
    x = 4,423,078,529,099,083,808,768/54,302,108,793.30
  6. Step 6: Final answer
    x = 81,453,163,189.95

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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.