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Finding the Fourth Proportional to 167,204,838,150.90, 250,807,257,226.35 and 167,204,838,150.90

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Solution

The fourth proportional to 167,204,838,150.90, 250,807,257,226.35 and 167,204,838,150.90 is: 250,807,257,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,204,838,150.90 : 250,807,257,226.35 = 167,204,838,150.90 : x
  2. Step 2: Convert to fraction form
    167,204,838,150.90/250,807,257,226.35 = 167,204,838,150.90/x
  3. Step 3: Cross multiply
    167,204,838,150.90x = 250,807,257,226.35 × 167,204,838,150.90
  4. Step 4: Simplify right side
    167,204,838,150.90x = 41,936,186,851,602,995,347,456
  5. Step 5: Solve for x
    x = 41,936,186,851,602,995,347,456/167,204,838,150.90
  6. Step 6: Final answer
    x = 250,807,257,226.35

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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.