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Finding the Fourth Proportional to 422,304,049.80, 592,031,885.40 and 422,304,049.80

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Solution

The fourth proportional to 422,304,049.80, 592,031,885.40 and 422,304,049.80 is: 592,031,885.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,304,049.80 : 592,031,885.40 = 422,304,049.80 : x
  2. Step 2: Convert to fraction form
    422,304,049.80/592,031,885.40 = 422,304,049.80/x
  3. Step 3: Cross multiply
    422,304,049.80x = 592,031,885.40 × 422,304,049.80
  4. Step 4: Simplify right side
    422,304,049.80x = 250,017,462,815,149,504
  5. Step 5: Solve for x
    x = 250,017,462,815,149,504/422,304,049.80
  6. Step 6: Final answer
    x = 592,031,885.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.