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Finding the Fourth Proportional to 1,990,672,002.90, 2,986,008,004.35 and 610,699,497.30

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Solution

The fourth proportional to 1,990,672,002.90, 2,986,008,004.35 and 610,699,497.30 is: 916,049,245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990,672,002.90 : 2,986,008,004.35 = 610,699,497.30 : x
  2. Step 2: Convert to fraction form
    1,990,672,002.90/2,986,008,004.35 = 610,699,497.30/x
  3. Step 3: Cross multiply
    1,990,672,002.90x = 2,986,008,004.35 × 610,699,497.30
  4. Step 4: Simplify right side
    1,990,672,002.90x = 1,823,553,587,190,320,896
  5. Step 5: Solve for x
    x = 1,823,553,587,190,320,896/1,990,672,002.90
  6. Step 6: Final answer
    x = 916,049,245.95

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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.