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Finding the Fourth Proportional to 1,990,672,002.40, 2,986,008,003.60 and 610,699,496.80

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Solution

The fourth proportional to 1,990,672,002.40, 2,986,008,003.60 and 610,699,496.80 is: 916,049,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990,672,002.40 : 2,986,008,003.60 = 610,699,496.80 : x
  2. Step 2: Convert to fraction form
    1,990,672,002.40/2,986,008,003.60 = 610,699,496.80/x
  3. Step 3: Cross multiply
    1,990,672,002.40x = 2,986,008,003.60 × 610,699,496.80
  4. Step 4: Simplify right side
    1,990,672,002.40x = 1,823,553,585,239,292,416
  5. Step 5: Solve for x
    x = 1,823,553,585,239,292,416/1,990,672,002.40
  6. Step 6: Final answer
    x = 916,049,245.20

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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.