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Finding the Fourth Proportional to 150,305,326,400.70, 225,457,989,601.04 and 150,305,326,400.70

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Solution

The fourth proportional to 150,305,326,400.70, 225,457,989,601.04 and 150,305,326,400.70 is: 225,457,989,601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,305,326,400.70 : 225,457,989,601.04 = 150,305,326,400.70 : x
  2. Step 2: Convert to fraction form
    150,305,326,400.70/225,457,989,601.04 = 150,305,326,400.70/x
  3. Step 3: Cross multiply
    150,305,326,400.70x = 225,457,989,601.04 × 150,305,326,400.70
  4. Step 4: Simplify right side
    150,305,326,400.70x = 33,887,536,716,629,948,760,064
  5. Step 5: Solve for x
    x = 33,887,536,716,629,948,760,064/150,305,326,400.70
  6. Step 6: Final answer
    x = 225,457,989,601.04

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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.