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Finding the Fourth Proportional to 3,476,891,978.40, 5,215,370,250.66 and 989,752,819.14

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Solution

The fourth proportional to 3,476,891,978.40, 5,215,370,250.66 and 989,752,819.14 is: 1,484,638,418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476,891,978.40 : 5,215,370,250.66 = 989,752,819.14 : x
  2. Step 2: Convert to fraction form
    3,476,891,978.40/5,215,370,250.66 = 989,752,819.14/x
  3. Step 3: Cross multiply
    3,476,891,978.40x = 5,215,370,250.66 × 989,752,819.14
  4. Step 4: Simplify right side
    3,476,891,978.40x = 5,161,927,408,449,623,040
  5. Step 5: Solve for x
    x = 5,161,927,408,449,623,040/3,476,891,978.40
  6. Step 6: Final answer
    x = 1,484,638,418.60

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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.