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Finding the Fourth Proportional to 340,000,849.80, 510,127,245.90 and 327,403,729.80

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Solution

The fourth proportional to 340,000,849.80, 510,127,245.90 and 327,403,729.80 is: 491,226,898.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,000,849.80 : 510,127,245.90 = 327,403,729.80 : x
  2. Step 2: Convert to fraction form
    340,000,849.80/510,127,245.90 = 327,403,729.80/x
  3. Step 3: Cross multiply
    340,000,849.80x = 510,127,245.90 × 327,403,729.80
  4. Step 4: Simplify right side
    340,000,849.80x = 167,017,562,980,261,760
  5. Step 5: Solve for x
    x = 167,017,562,980,261,760/340,000,849.80
  6. Step 6: Final answer
    x = 491,226,898.63

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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.