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Finding the Fourth Proportional to 279,282,816,002.15, 418,924,224,003.22 and 279,282,816,002.15

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Solution

The fourth proportional to 279,282,816,002.15, 418,924,224,003.22 and 279,282,816,002.15 is: 418,924,224,003.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,282,816,002.15 : 418,924,224,003.22 = 279,282,816,002.15 : x
  2. Step 2: Convert to fraction form
    279,282,816,002.15/418,924,224,003.22 = 279,282,816,002.15/x
  3. Step 3: Cross multiply
    279,282,816,002.15x = 418,924,224,003.22 × 279,282,816,002.15
  4. Step 4: Simplify right side
    279,282,816,002.15x = 116,998,336,971,134,772,183,040
  5. Step 5: Solve for x
    x = 116,998,336,971,134,772,183,040/279,282,816,002.15
  6. Step 6: Final answer
    x = 418,924,224,003.22

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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.