Finding the Fourth Proportional to 20,203,261,056,076, 30,304,891,584,120 and 20,203,261,056,076
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Solution
The fourth proportional to 20,203,261,056,076, 30,304,891,584,120 and 20,203,261,056,076 is: 30,304,891,584,120
Step by Step Solution
- Step 1: Write the proportion equation
20,203,261,056,076 : 30,304,891,584,120 = 20,203,261,056,076 : x - Step 2: Convert to fraction form
20,203,261,056,076/30,304,891,584,120 = 20,203,261,056,076/x - Step 3: Cross multiply
20,203,261,056,076x = 30,304,891,584,120 × 20,203,261,056,076 - Step 4: Simplify right side
20,203,261,056,076x = 612,257,635,950,056,895,158,419,456 - Step 5: Solve for x
x = 612,257,635,950,056,895,158,419,456/20,203,261,056,076 - Step 6: Final answer
x = 30,304,891,584,120
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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.