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Finding the Fourth Proportional to 224,327,998.20, 314,512,693.80 and 224,327,998.20

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Solution

The fourth proportional to 224,327,998.20, 314,512,693.80 and 224,327,998.20 is: 314,512,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,327,998.20 : 314,512,693.80 = 224,327,998.20 : x
  2. Step 2: Convert to fraction form
    224,327,998.20/314,512,693.80 = 224,327,998.20/x
  3. Step 3: Cross multiply
    224,327,998.20x = 314,512,693.80 × 224,327,998.20
  4. Step 4: Simplify right side
    224,327,998.20x = 70,554,003,008,643,552
  5. Step 5: Solve for x
    x = 70,554,003,008,643,552/224,327,998.20
  6. Step 6: Final answer
    x = 314,512,693.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.