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Finding the Fourth Proportional to 51,508,907,600.80, 77,263,361,401.20 and 51,508,907,600.80

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Solution

The fourth proportional to 51,508,907,600.80, 77,263,361,401.20 and 51,508,907,600.80 is: 77,263,361,401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,508,907,600.80 : 77,263,361,401.20 = 51,508,907,600.80 : x
  2. Step 2: Convert to fraction form
    51,508,907,600.80/77,263,361,401.20 = 51,508,907,600.80/x
  3. Step 3: Cross multiply
    51,508,907,600.80x = 77,263,361,401.20 × 51,508,907,600.80
  4. Step 4: Simplify right side
    51,508,907,600.80x = 3,979,751,343,341,628,293,120
  5. Step 5: Solve for x
    x = 3,979,751,343,341,628,293,120/51,508,907,600.80
  6. Step 6: Final answer
    x = 77,263,361,401.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.