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Finding the Fourth Proportional to 429,335,087.70, 644,002,631.55 and 429,335,087.70

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Solution

The fourth proportional to 429,335,087.70, 644,002,631.55 and 429,335,087.70 is: 644,002,631.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,335,087.70 : 644,002,631.55 = 429,335,087.70 : x
  2. Step 2: Convert to fraction form
    429,335,087.70/644,002,631.55 = 429,335,087.70/x
  3. Step 3: Cross multiply
    429,335,087.70x = 644,002,631.55 × 429,335,087.70
  4. Step 4: Simplify right side
    429,335,087.70x = 276,492,926,295,550,016
  5. Step 5: Solve for x
    x = 276,492,926,295,550,016/429,335,087.70
  6. Step 6: Final answer
    x = 644,002,631.55

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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.