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Finding the Fourth Proportional to 309,690,657,499.86, 464,535,986,249.79 and 309,690,657,499.86

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Solution

The fourth proportional to 309,690,657,499.86, 464,535,986,249.79 and 309,690,657,499.86 is: 464,535,986,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,690,657,499.86 : 464,535,986,249.79 = 309,690,657,499.86 : x
  2. Step 2: Convert to fraction form
    309,690,657,499.86/464,535,986,249.79 = 309,690,657,499.86/x
  3. Step 3: Cross multiply
    309,690,657,499.86x = 464,535,986,249.79 × 309,690,657,499.86
  4. Step 4: Simplify right side
    309,690,657,499.86x = 143,862,455,014,043,370,389,504
  5. Step 5: Solve for x
    x = 143,862,455,014,043,370,389,504/309,690,657,499.86
  6. Step 6: Final answer
    x = 464,535,986,249.79

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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.