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Finding the Fourth Proportional to 367,040,772,012.16, 550,561,158,018.22 and 367,040,772,012.16

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Solution

The fourth proportional to 367,040,772,012.16, 550,561,158,018.22 and 367,040,772,012.16 is: 550,561,158,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,040,772,012.16 : 550,561,158,018.22 = 367,040,772,012.16 : x
  2. Step 2: Convert to fraction form
    367,040,772,012.16/550,561,158,018.22 = 367,040,772,012.16/x
  3. Step 3: Cross multiply
    367,040,772,012.16x = 550,561,158,018.22 × 367,040,772,012.16
  4. Step 4: Simplify right side
    367,040,772,012.16x = 202,078,392,478,916,256,202,752
  5. Step 5: Solve for x
    x = 202,078,392,478,916,256,202,752/367,040,772,012.16
  6. Step 6: Final answer
    x = 550,561,158,018.22

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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.