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Finding the Fourth Proportional to 327,456,869.40, 491,185,304.10 and 327,456,869.40

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Solution

The fourth proportional to 327,456,869.40, 491,185,304.10 and 327,456,869.40 is: 491,185,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,456,869.40 : 491,185,304.10 = 327,456,869.40 : x
  2. Step 2: Convert to fraction form
    327,456,869.40/491,185,304.10 = 327,456,869.40/x
  3. Step 3: Cross multiply
    327,456,869.40x = 491,185,304.10 × 327,456,869.40
  4. Step 4: Simplify right side
    327,456,869.40x = 160,842,001,975,872,992
  5. Step 5: Solve for x
    x = 160,842,001,975,872,992/327,456,869.40
  6. Step 6: Final answer
    x = 491,185,304.10

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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.