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Finding the Fourth Proportional to 31,912,706,630.40, 44,751,255,686.40 and 31,912,706,630.40

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Solution

The fourth proportional to 31,912,706,630.40, 44,751,255,686.40 and 31,912,706,630.40 is: 44,751,255,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,912,706,630.40 : 44,751,255,686.40 = 31,912,706,630.40 : x
  2. Step 2: Convert to fraction form
    31,912,706,630.40/44,751,255,686.40 = 31,912,706,630.40/x
  3. Step 3: Cross multiply
    31,912,706,630.40x = 44,751,255,686.40 × 31,912,706,630.40
  4. Step 4: Simplify right side
    31,912,706,630.40x = 1,428,133,694,062,103,101,440
  5. Step 5: Solve for x
    x = 1,428,133,694,062,103,101,440/31,912,706,630.40
  6. Step 6: Final answer
    x = 44,751,255,686.40

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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.