Finding the Fourth Proportional to 1,999,988,421.76, 2,999,982,959.88 and 834,821,296.84
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Solution
The fourth proportional to 1,999,988,421.76, 2,999,982,959.88 and 834,821,296.84 is: 1,252,232,081.85
Step by Step Solution
- Step 1: Write the proportion equation
1,999,988,421.76 : 2,999,982,959.88 = 834,821,296.84 : x - Step 2: Convert to fraction form
1,999,988,421.76/2,999,982,959.88 = 834,821,296.84/x - Step 3: Cross multiply
1,999,988,421.76x = 2,999,982,959.88 × 834,821,296.84 - Step 4: Simplify right side
1,999,988,421.76x = 2,504,449,665,064,923,648 - Step 5: Solve for x
x = 2,504,449,665,064,923,648/1,999,988,421.76 - Step 6: Final answer
x = 1,252,232,081.85
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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.