Finding the Fourth Proportional to 9,907,415,982,319, 13,672,657,810,192 and 5,517,745,717,893
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Solution
The fourth proportional to 9,907,415,982,319, 13,672,657,810,192 and 5,517,745,717,893 is: 7,614,725,092,702.19
Step by Step Solution
- Step 1: Write the proportion equation
9,907,415,982,319 : 13,672,657,810,192 = 5,517,745,717,893 : x - Step 2: Convert to fraction form
9,907,415,982,319/13,672,657,810,192 = 5,517,745,717,893/x - Step 3: Cross multiply
9,907,415,982,319x = 13,672,657,810,192 × 5,517,745,717,893 - Step 4: Simplify right side
9,907,415,982,319x = 75,442,249,084,403,192,527,060,992 - Step 5: Solve for x
x = 75,442,249,084,403,192,527,060,992/9,907,415,982,319 - Step 6: Final answer
x = 7,614,725,092,702.19
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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.