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Finding the Fourth Proportional to 441,752,193,143.70, 662,628,289,715.55 and 441,752,193,143.70

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Solution

The fourth proportional to 441,752,193,143.70, 662,628,289,715.55 and 441,752,193,143.70 is: 662,628,289,715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,752,193,143.70 : 662,628,289,715.55 = 441,752,193,143.70 : x
  2. Step 2: Convert to fraction form
    441,752,193,143.70/662,628,289,715.55 = 441,752,193,143.70/x
  3. Step 3: Cross multiply
    441,752,193,143.70x = 662,628,289,715.55 × 441,752,193,143.70
  4. Step 4: Simplify right side
    441,752,193,143.70x = 292,717,500,220,903,266,451,456
  5. Step 5: Solve for x
    x = 292,717,500,220,903,266,451,456/441,752,193,143.70
  6. Step 6: Final answer
    x = 662,628,289,715.55

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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.