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Finding the Fourth Proportional to 407,455,659.78, 611,183,489.67 and 407,455,659.78

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Solution

The fourth proportional to 407,455,659.78, 611,183,489.67 and 407,455,659.78 is: 611,183,489.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,455,659.78 : 611,183,489.67 = 407,455,659.78 : x
  2. Step 2: Convert to fraction form
    407,455,659.78/611,183,489.67 = 407,455,659.78/x
  3. Step 3: Cross multiply
    407,455,659.78x = 611,183,489.67 × 407,455,659.78
  4. Step 4: Simplify right side
    407,455,659.78x = 249,030,172,025,039,424
  5. Step 5: Solve for x
    x = 249,030,172,025,039,424/407,455,659.78
  6. Step 6: Final answer
    x = 611,183,489.67

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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.