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Finding the Fourth Proportional to 51,508,906,940.80, 77,263,360,411.20 and 51,508,906,940.80

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Solution

The fourth proportional to 51,508,906,940.80, 77,263,360,411.20 and 51,508,906,940.80 is: 77,263,360,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,508,906,940.80 : 77,263,360,411.20 = 51,508,906,940.80 : x
  2. Step 2: Convert to fraction form
    51,508,906,940.80/77,263,360,411.20 = 51,508,906,940.80/x
  3. Step 3: Cross multiply
    51,508,906,940.80x = 77,263,360,411.20 × 51,508,906,940.80
  4. Step 4: Simplify right side
    51,508,906,940.80x = 3,979,751,241,353,991,815,168
  5. Step 5: Solve for x
    x = 3,979,751,241,353,991,815,168/51,508,906,940.80
  6. Step 6: Final answer
    x = 77,263,360,411.20

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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.