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Finding the Fourth Proportional to 3,277,129,306,728.80, 4,915,693,960,093.10 and 3,277,129,306,728.80

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Solution

The fourth proportional to 3,277,129,306,728.80, 4,915,693,960,093.10 and 3,277,129,306,728.80 is: 4,915,693,960,093.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277,129,306,728.80 : 4,915,693,960,093.10 = 3,277,129,306,728.80 : x
  2. Step 2: Convert to fraction form
    3,277,129,306,728.80/4,915,693,960,093.10 = 3,277,129,306,728.80/x
  3. Step 3: Cross multiply
    3,277,129,306,728.80x = 4,915,693,960,093.10 × 3,277,129,306,728.80
  4. Step 4: Simplify right side
    3,277,129,306,728.80x = 16,109,364,739,530,847,131,009,024
  5. Step 5: Solve for x
    x = 16,109,364,739,530,847,131,009,024/3,277,129,306,728.80
  6. Step 6: Final answer
    x = 4,915,693,960,093.10

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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.