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Finding the Fourth Proportional to 106,434,010.70, 159,651,016.05 and 106,434,010.70

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Solution

The fourth proportional to 106,434,010.70, 159,651,016.05 and 106,434,010.70 is: 159,651,016.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,434,010.70 : 159,651,016.05 = 106,434,010.70 : x
  2. Step 2: Convert to fraction form
    106,434,010.70/159,651,016.05 = 106,434,010.70/x
  3. Step 3: Cross multiply
    106,434,010.70x = 159,651,016.05 × 106,434,010.70
  4. Step 4: Simplify right side
    106,434,010.70x = 16,992,297,950,531,574
  5. Step 5: Solve for x
    x = 16,992,297,950,531,574/106,434,010.70
  6. Step 6: Final answer
    x = 159,651,016.05

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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.