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Finding the Fourth Proportional to 308,599,593,224.80, 462,899,389,837.20 and 308,599,593,224.80

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Solution

The fourth proportional to 308,599,593,224.80, 462,899,389,837.20 and 308,599,593,224.80 is: 462,899,389,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,599,593,224.80 : 462,899,389,837.20 = 308,599,593,224.80 : x
  2. Step 2: Convert to fraction form
    308,599,593,224.80/462,899,389,837.20 = 308,599,593,224.80/x
  3. Step 3: Cross multiply
    308,599,593,224.80x = 462,899,389,837.20 × 308,599,593,224.80
  4. Step 4: Simplify right side
    308,599,593,224.80x = 142,850,563,407,768,031,592,448
  5. Step 5: Solve for x
    x = 142,850,563,407,768,031,592,448/308,599,593,224.80
  6. Step 6: Final answer
    x = 462,899,389,837.20

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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.