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Finding the Fourth Proportional to 340,000,966.80, 510,127,421.40 and 327,403,846.80

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Solution

The fourth proportional to 340,000,966.80, 510,127,421.40 and 327,403,846.80 is: 491,227,074.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,000,966.80 : 510,127,421.40 = 327,403,846.80 : x
  2. Step 2: Convert to fraction form
    340,000,966.80/510,127,421.40 = 327,403,846.80/x
  3. Step 3: Cross multiply
    340,000,966.80x = 510,127,421.40 × 327,403,846.80
  4. Step 4: Simplify right side
    340,000,966.80x = 167,017,680,124,524,640
  5. Step 5: Solve for x
    x = 167,017,680,124,524,640/340,000,966.80
  6. Step 6: Final answer
    x = 491,227,074.14

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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.