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Finding the Fourth Proportional to 441,752,193,120.45, 662,628,289,680.69 and 441,752,193,120.45

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Solution

The fourth proportional to 441,752,193,120.45, 662,628,289,680.69 and 441,752,193,120.45 is: 662,628,289,680.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,752,193,120.45 : 662,628,289,680.69 = 441,752,193,120.45 : x
  2. Step 2: Convert to fraction form
    441,752,193,120.45/662,628,289,680.69 = 441,752,193,120.45/x
  3. Step 3: Cross multiply
    441,752,193,120.45x = 662,628,289,680.69 × 441,752,193,120.45
  4. Step 4: Simplify right side
    441,752,193,120.45x = 292,717,500,190,097,647,075,328
  5. Step 5: Solve for x
    x = 292,717,500,190,097,647,075,328/441,752,193,120.45
  6. Step 6: Final answer
    x = 662,628,289,680.69

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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.