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Finding the Fourth Proportional to 873,679,621.77, 1,205,675,932.05 and 502,401,685.95

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Solution

The fourth proportional to 873,679,621.77, 1,205,675,932.05 and 502,401,685.95 is: 693,313,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,679,621.77 : 1,205,675,932.05 = 502,401,685.95 : x
  2. Step 2: Convert to fraction form
    873,679,621.77/1,205,675,932.05 = 502,401,685.95/x
  3. Step 3: Cross multiply
    873,679,621.77x = 1,205,675,932.05 × 502,401,685.95
  4. Step 4: Simplify right side
    873,679,621.77x = 605,733,620,971,257,600
  5. Step 5: Solve for x
    x = 605,733,620,971,257,600/873,679,621.77
  6. Step 6: Final answer
    x = 693,313,207.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.