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Finding the Fourth Proportional to 325,321,157,779.80, 487,981,736,669.70 and 325,321,157,779.80

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Solution

The fourth proportional to 325,321,157,779.80, 487,981,736,669.70 and 325,321,157,779.80 is: 487,981,736,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,321,157,779.80 : 487,981,736,669.70 = 325,321,157,779.80 : x
  2. Step 2: Convert to fraction form
    325,321,157,779.80/487,981,736,669.70 = 325,321,157,779.80/x
  3. Step 3: Cross multiply
    325,321,157,779.80x = 487,981,736,669.70 × 325,321,157,779.80
  4. Step 4: Simplify right side
    325,321,157,779.80x = 158,750,783,548,784,298,164,224
  5. Step 5: Solve for x
    x = 158,750,783,548,784,298,164,224/325,321,157,779.80
  6. Step 6: Final answer
    x = 487,981,736,669.70

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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.