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Finding the Fourth Proportional to 776,313,855,000.20, 1,164,470,782,500.30 and 776,313,855,000.20

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Solution

The fourth proportional to 776,313,855,000.20, 1,164,470,782,500.30 and 776,313,855,000.20 is: 1,164,470,782,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,313,855,000.20 : 1,164,470,782,500.30 = 776,313,855,000.20 : x
  2. Step 2: Convert to fraction form
    776,313,855,000.20/1,164,470,782,500.30 = 776,313,855,000.20/x
  3. Step 3: Cross multiply
    776,313,855,000.20x = 1,164,470,782,500.30 × 776,313,855,000.20
  4. Step 4: Simplify right side
    776,313,855,000.20x = 903,994,802,197,907,285,999,616
  5. Step 5: Solve for x
    x = 903,994,802,197,907,285,999,616/776,313,855,000.20
  6. Step 6: Final answer
    x = 1,164,470,782,500.30

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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.