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Finding the Fourth Proportional to 217,978,157,040.90, 326,967,235,561.35 and 217,978,157,040.90

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Solution

The fourth proportional to 217,978,157,040.90, 326,967,235,561.35 and 217,978,157,040.90 is: 326,967,235,561.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,978,157,040.90 : 326,967,235,561.35 = 217,978,157,040.90 : x
  2. Step 2: Convert to fraction form
    217,978,157,040.90/326,967,235,561.35 = 217,978,157,040.90/x
  3. Step 3: Cross multiply
    217,978,157,040.90x = 326,967,235,561.35 × 217,978,157,040.90
  4. Step 4: Simplify right side
    217,978,157,040.90x = 71,271,715,420,420,882,563,072
  5. Step 5: Solve for x
    x = 71,271,715,420,420,882,563,072/217,978,157,040.90
  6. Step 6: Final answer
    x = 326,967,235,561.35

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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.