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Finding the Fourth Proportional to 279,342,053,999.67, 419,013,080,999.51 and 279,342,053,999.67

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Solution

The fourth proportional to 279,342,053,999.67, 419,013,080,999.51 and 279,342,053,999.67 is: 419,013,080,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,342,053,999.67 : 419,013,080,999.51 = 279,342,053,999.67 : x
  2. Step 2: Convert to fraction form
    279,342,053,999.67/419,013,080,999.51 = 279,342,053,999.67/x
  3. Step 3: Cross multiply
    279,342,053,999.67x = 419,013,080,999.51 × 279,342,053,999.67
  4. Step 4: Simplify right side
    279,342,053,999.67x = 117,047,974,699,133,220,945,920
  5. Step 5: Solve for x
    x = 117,047,974,699,133,220,945,920/279,342,053,999.67
  6. Step 6: Final answer
    x = 419,013,080,999.51

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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.