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Finding the Fourth Proportional to 217,978,157,046.15, 326,967,235,569.22 and 217,978,157,046.15

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Solution

The fourth proportional to 217,978,157,046.15, 326,967,235,569.22 and 217,978,157,046.15 is: 326,967,235,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,978,157,046.15 : 326,967,235,569.22 = 217,978,157,046.15 : x
  2. Step 2: Convert to fraction form
    217,978,157,046.15/326,967,235,569.22 = 217,978,157,046.15/x
  3. Step 3: Cross multiply
    217,978,157,046.15x = 326,967,235,569.22 × 217,978,157,046.15
  4. Step 4: Simplify right side
    217,978,157,046.15x = 71,271,715,423,852,947,308,544
  5. Step 5: Solve for x
    x = 71,271,715,423,852,947,308,544/217,978,157,046.15
  6. Step 6: Final answer
    x = 326,967,235,569.22

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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.