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Finding the Fourth Proportional to 31,912,707,777.90, 44,751,257,292.90 and 31,912,707,777.90

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Solution

The fourth proportional to 31,912,707,777.90, 44,751,257,292.90 and 31,912,707,777.90 is: 44,751,257,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,912,707,777.90 : 44,751,257,292.90 = 31,912,707,777.90 : x
  2. Step 2: Convert to fraction form
    31,912,707,777.90/44,751,257,292.90 = 31,912,707,777.90/x
  3. Step 3: Cross multiply
    31,912,707,777.90x = 44,751,257,292.90 × 31,912,707,777.90
  4. Step 4: Simplify right side
    31,912,707,777.90x = 1,428,133,796,681,934,176,256
  5. Step 5: Solve for x
    x = 1,428,133,796,681,934,176,256/31,912,707,777.90
  6. Step 6: Final answer
    x = 44,751,257,292.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.