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Finding the Fourth Proportional to 998,696,396.34, 1,498,636,404 and 556,409,274.30

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Solution

The fourth proportional to 998,696,396.34, 1,498,636,404 and 556,409,274.30 is: 834,943,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,696,396.34 : 1,498,636,404 = 556,409,274.30 : x
  2. Step 2: Convert to fraction form
    998,696,396.34/1,498,636,404 = 556,409,274.30/x
  3. Step 3: Cross multiply
    998,696,396.34x = 1,498,636,404 × 556,409,274.30
  4. Step 4: Simplify right side
    998,696,396.34x = 833,855,193,989,201,536
  5. Step 5: Solve for x
    x = 833,855,193,989,201,536/998,696,396.34
  6. Step 6: Final answer
    x = 834,943,629.56

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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.