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Finding the Fourth Proportional to 31,594,276.80, 47,320,556.40 and 31,594,276.80

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Solution

The fourth proportional to 31,594,276.80, 47,320,556.40 and 31,594,276.80 is: 47,320,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,594,276.80 : 47,320,556.40 = 31,594,276.80 : x
  2. Step 2: Convert to fraction form
    31,594,276.80/47,320,556.40 = 31,594,276.80/x
  3. Step 3: Cross multiply
    31,594,276.80x = 47,320,556.40 × 31,594,276.80
  4. Step 4: Simplify right side
    31,594,276.80x = 1,495,058,757,231,611.50
  5. Step 5: Solve for x
    x = 1,495,058,757,231,611.50/31,594,276.80
  6. Step 6: Final answer
    x = 47,320,556.40

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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.