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Finding the Fourth Proportional to 325,321,157,772.30, 487,981,736,658.45 and 325,321,157,772.30

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Solution

The fourth proportional to 325,321,157,772.30, 487,981,736,658.45 and 325,321,157,772.30 is: 487,981,736,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,321,157,772.30 : 487,981,736,658.45 = 325,321,157,772.30 : x
  2. Step 2: Convert to fraction form
    325,321,157,772.30/487,981,736,658.45 = 325,321,157,772.30/x
  3. Step 3: Cross multiply
    325,321,157,772.30x = 487,981,736,658.45 × 325,321,157,772.30
  4. Step 4: Simplify right side
    325,321,157,772.30x = 158,750,783,541,464,566,595,584
  5. Step 5: Solve for x
    x = 158,750,783,541,464,566,595,584/325,321,157,772.30
  6. Step 6: Final answer
    x = 487,981,736,658.45

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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.