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Finding the Fourth Proportional to 324,343,487,904.80, 486,515,231,857.20 and 324,343,487,904.80

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Solution

The fourth proportional to 324,343,487,904.80, 486,515,231,857.20 and 324,343,487,904.80 is: 486,515,231,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,343,487,904.80 : 486,515,231,857.20 = 324,343,487,904.80 : x
  2. Step 2: Convert to fraction form
    324,343,487,904.80/486,515,231,857.20 = 324,343,487,904.80/x
  3. Step 3: Cross multiply
    324,343,487,904.80x = 486,515,231,857.20 × 324,343,487,904.80
  4. Step 4: Simplify right side
    324,343,487,904.80x = 157,798,047,219,376,724,115,456
  5. Step 5: Solve for x
    x = 157,798,047,219,376,724,115,456/324,343,487,904.80
  6. Step 6: Final answer
    x = 486,515,231,857.20

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Double scale
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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.