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Finding the Fourth Proportional to 80,230,372,605.60, 120,345,558,908.40 and 80,230,372,605.60

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Solution

The fourth proportional to 80,230,372,605.60, 120,345,558,908.40 and 80,230,372,605.60 is: 120,345,558,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,230,372,605.60 : 120,345,558,908.40 = 80,230,372,605.60 : x
  2. Step 2: Convert to fraction form
    80,230,372,605.60/120,345,558,908.40 = 80,230,372,605.60/x
  3. Step 3: Cross multiply
    80,230,372,605.60x = 120,345,558,908.40 × 80,230,372,605.60
  4. Step 4: Simplify right side
    80,230,372,605.60x = 9,655,369,032,650,117,349,376
  5. Step 5: Solve for x
    x = 9,655,369,032,650,117,349,376/80,230,372,605.60
  6. Step 6: Final answer
    x = 120,345,558,908.40

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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.