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Finding the Fourth Proportional to 687,199,836.10, 1,030,799,754.15 and 687,199,836.10

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Solution

The fourth proportional to 687,199,836.10, 1,030,799,754.15 and 687,199,836.10 is: 1,030,799,754.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,199,836.10 : 1,030,799,754.15 = 687,199,836.10 : x
  2. Step 2: Convert to fraction form
    687,199,836.10/1,030,799,754.15 = 687,199,836.10/x
  3. Step 3: Cross multiply
    687,199,836.10x = 1,030,799,754.15 × 687,199,836.10
  4. Step 4: Simplify right side
    687,199,836.10x = 708,365,422,103,800,320
  5. Step 5: Solve for x
    x = 708,365,422,103,800,320/687,199,836.10
  6. Step 6: Final answer
    x = 1,030,799,754.15

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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.