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Finding the Fourth Proportional to 498,653,999.10, 747,980,998.65 and 413,719,343.10

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Solution

The fourth proportional to 498,653,999.10, 747,980,998.65 and 413,719,343.10 is: 620,579,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,653,999.10 : 747,980,998.65 = 413,719,343.10 : x
  2. Step 2: Convert to fraction form
    498,653,999.10/747,980,998.65 = 413,719,343.10/x
  3. Step 3: Cross multiply
    498,653,999.10x = 747,980,998.65 × 413,719,343.10
  4. Step 4: Simplify right side
    498,653,999.10x = 309,454,207,412,760,000
  5. Step 5: Solve for x
    x = 309,454,207,412,760,000/498,653,999.10
  6. Step 6: Final answer
    x = 620,579,014.65

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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.