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Finding the Fourth Proportional to 407,455,661.15, 611,183,491.73 and 407,455,661.15

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Solution

The fourth proportional to 407,455,661.15, 611,183,491.73 and 407,455,661.15 is: 611,183,491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,455,661.15 : 611,183,491.73 = 407,455,661.15 : x
  2. Step 2: Convert to fraction form
    407,455,661.15/611,183,491.73 = 407,455,661.15/x
  3. Step 3: Cross multiply
    407,455,661.15x = 611,183,491.73 × 407,455,661.15
  4. Step 4: Simplify right side
    407,455,661.15x = 249,030,173,704,775,424
  5. Step 5: Solve for x
    x = 249,030,173,704,775,424/407,455,661.15
  6. Step 6: Final answer
    x = 611,183,491.73

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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.