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Finding the Fourth Proportional to 77,263,360,918.20, 115,895,041,377.30 and 77,263,360,918.20

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Solution

The fourth proportional to 77,263,360,918.20, 115,895,041,377.30 and 77,263,360,918.20 is: 115,895,041,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,263,360,918.20 : 115,895,041,377.30 = 77,263,360,918.20 : x
  2. Step 2: Convert to fraction form
    77,263,360,918.20/115,895,041,377.30 = 77,263,360,918.20/x
  3. Step 3: Cross multiply
    77,263,360,918.20x = 115,895,041,377.30 × 77,263,360,918.20
  4. Step 4: Simplify right side
    77,263,360,918.20x = 8,954,440,410,564,052,123,648
  5. Step 5: Solve for x
    x = 8,954,440,410,564,052,123,648/77,263,360,918.20
  6. Step 6: Final answer
    x = 115,895,041,377.30

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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.