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Finding the Fourth Proportional to 31,131,260.70, 46,696,891.05 and 31,131,260.70

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Solution

The fourth proportional to 31,131,260.70, 46,696,891.05 and 31,131,260.70 is: 46,696,891.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,131,260.70 : 46,696,891.05 = 31,131,260.70 : x
  2. Step 2: Convert to fraction form
    31,131,260.70/46,696,891.05 = 31,131,260.70/x
  3. Step 3: Cross multiply
    31,131,260.70x = 46,696,891.05 × 31,131,260.70
  4. Step 4: Simplify right side
    31,131,260.70x = 1,453,733,089,157,046.50
  5. Step 5: Solve for x
    x = 1,453,733,089,157,046.50/31,131,260.70
  6. Step 6: Final answer
    x = 46,696,891.05

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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.