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Finding the Fourth Proportional to 36,794,270,499.30, 55,191,405,748.95 and 36,794,270,499.30

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Solution

The fourth proportional to 36,794,270,499.30, 55,191,405,748.95 and 36,794,270,499.30 is: 55,191,405,748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,794,270,499.30 : 55,191,405,748.95 = 36,794,270,499.30 : x
  2. Step 2: Convert to fraction form
    36,794,270,499.30/55,191,405,748.95 = 36,794,270,499.30/x
  3. Step 3: Cross multiply
    36,794,270,499.30x = 55,191,405,748.95 × 36,794,270,499.30
  4. Step 4: Simplify right side
    36,794,270,499.30x = 2,030,727,512,363,487,461,376
  5. Step 5: Solve for x
    x = 2,030,727,512,363,487,461,376/36,794,270,499.30
  6. Step 6: Final answer
    x = 55,191,405,748.95

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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.