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Finding the Fourth Proportional to 365,795,926, 504,798,877.76 and 198,532,189.79

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Solution

The fourth proportional to 365,795,926, 504,798,877.76 and 198,532,189.79 is: 273,974,693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,795,926 : 504,798,877.76 = 198,532,189.79 : x
  2. Step 2: Convert to fraction form
    365,795,926/504,798,877.76 = 198,532,189.79/x
  3. Step 3: Cross multiply
    365,795,926x = 504,798,877.76 × 198,532,189.79
  4. Step 4: Simplify right side
    365,795,926x = 100,218,826,605,227,328
  5. Step 5: Solve for x
    x = 100,218,826,605,227,328/365,795,926
  6. Step 6: Final answer
    x = 273,974,693.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.