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Finding the Fourth Proportional to 409,669,991.40, 614,504,987.10 and 409,669,991.40

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Solution

The fourth proportional to 409,669,991.40, 614,504,987.10 and 409,669,991.40 is: 614,504,987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,669,991.40 : 614,504,987.10 = 409,669,991.40 : x
  2. Step 2: Convert to fraction form
    409,669,991.40/614,504,987.10 = 409,669,991.40/x
  3. Step 3: Cross multiply
    409,669,991.40x = 614,504,987.10 × 409,669,991.40
  4. Step 4: Simplify right side
    409,669,991.40x = 251,744,252,780,514,112
  5. Step 5: Solve for x
    x = 251,744,252,780,514,112/409,669,991.40
  6. Step 6: Final answer
    x = 614,504,987.10

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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.