Finding the Fourth Proportional to 5,777,557,423,140, 7,973,034,372,881.40 and 3,176,316,014,474.80
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Solution
The fourth proportional to 5,777,557,423,140, 7,973,034,372,881.40 and 3,176,316,014,474.80 is: 4,383,318,919,706.66
Step by Step Solution
- Step 1: Write the proportion equation
5,777,557,423,140 : 7,973,034,372,881.40 = 3,176,316,014,474.80 : x - Step 2: Convert to fraction form
5,777,557,423,140/7,973,034,372,881.40 = 3,176,316,014,474.80/x - Step 3: Cross multiply
5,777,557,423,140x = 7,973,034,372,881.40 × 3,176,316,014,474.80 - Step 4: Simplify right side
5,777,557,423,140x = 25,324,876,762,541,235,730,644,992 - Step 5: Solve for x
x = 25,324,876,762,541,235,730,644,992/5,777,557,423,140 - Step 6: Final answer
x = 4,383,318,919,706.66
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.