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Finding the Fourth Proportional to 1,609,670,628.80, 2,414,505,943.20 and 989,797,846.40

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Solution

The fourth proportional to 1,609,670,628.80, 2,414,505,943.20 and 989,797,846.40 is: 1,484,696,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,670,628.80 : 2,414,505,943.20 = 989,797,846.40 : x
  2. Step 2: Convert to fraction form
    1,609,670,628.80/2,414,505,943.20 = 989,797,846.40/x
  3. Step 3: Cross multiply
    1,609,670,628.80x = 2,414,505,943.20 × 989,797,846.40
  4. Step 4: Simplify right side
    1,609,670,628.80x = 2,389,872,782,699,360,256
  5. Step 5: Solve for x
    x = 2,389,872,782,699,360,256/1,609,670,628.80
  6. Step 6: Final answer
    x = 1,484,696,769.60

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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.