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Finding the Fourth Proportional to 429,726,007.70, 644,589,011.55 and 429,726,007.70

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Solution

The fourth proportional to 429,726,007.70, 644,589,011.55 and 429,726,007.70 is: 644,589,011.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,726,007.70 : 644,589,011.55 = 429,726,007.70 : x
  2. Step 2: Convert to fraction form
    429,726,007.70/644,589,011.55 = 429,726,007.70/x
  3. Step 3: Cross multiply
    429,726,007.70x = 644,589,011.55 × 429,726,007.70
  4. Step 4: Simplify right side
    429,726,007.70x = 276,996,662,540,670,656
  5. Step 5: Solve for x
    x = 276,996,662,540,670,656/429,726,007.70
  6. Step 6: Final answer
    x = 644,589,011.55

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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.