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Finding the Fourth Proportional to 367,040,772,000.16, 550,561,158,000.22 and 367,040,772,000.16

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Solution

The fourth proportional to 367,040,772,000.16, 550,561,158,000.22 and 367,040,772,000.16 is: 550,561,158,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,040,772,000.16 : 550,561,158,000.22 = 367,040,772,000.16 : x
  2. Step 2: Convert to fraction form
    367,040,772,000.16/550,561,158,000.22 = 367,040,772,000.16/x
  3. Step 3: Cross multiply
    367,040,772,000.16x = 550,561,158,000.22 × 367,040,772,000.16
  4. Step 4: Simplify right side
    367,040,772,000.16x = 202,078,392,465,702,789,316,608
  5. Step 5: Solve for x
    x = 202,078,392,465,702,789,316,608/367,040,772,000.16
  6. Step 6: Final answer
    x = 550,561,158,000.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.