Finding the Fourth Proportional to 5,567,103,987,717, 7,683,272,311,710.60 and 3,372,204,806,102.10
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Solution
The fourth proportional to 5,567,103,987,717, 7,683,272,311,710.60 and 3,372,204,806,102.10 is: 4,654,047,755,045.95
Step by Step Solution
- Step 1: Write the proportion equation
5,567,103,987,717 : 7,683,272,311,710.60 = 3,372,204,806,102.10 : x - Step 2: Convert to fraction form
5,567,103,987,717/7,683,272,311,710.60 = 3,372,204,806,102.10/x - Step 3: Cross multiply
5,567,103,987,717x = 7,683,272,311,710.60 × 3,372,204,806,102.10 - Step 4: Simplify right side
5,567,103,987,717x = 25,909,567,816,141,677,308,936,192 - Step 5: Solve for x
x = 25,909,567,816,141,677,308,936,192/5,567,103,987,717 - Step 6: Final answer
x = 4,654,047,755,045.95
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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.