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Finding the Fourth Proportional to 31,508,940.70, 47,263,411.05 and 31,508,940.70

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Solution

The fourth proportional to 31,508,940.70, 47,263,411.05 and 31,508,940.70 is: 47,263,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,508,940.70 : 47,263,411.05 = 31,508,940.70 : x
  2. Step 2: Convert to fraction form
    31,508,940.70/47,263,411.05 = 31,508,940.70/x
  3. Step 3: Cross multiply
    31,508,940.70x = 47,263,411.05 × 31,508,940.70
  4. Step 4: Simplify right side
    31,508,940.70x = 1,489,220,016,054,174.50
  5. Step 5: Solve for x
    x = 1,489,220,016,054,174.50/31,508,940.70
  6. Step 6: Final answer
    x = 47,263,411.05

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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.