Finding the Fourth Proportional to 4,737,789,440,798, 6,538,149,428,302 and 2,710,116,694,814
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Solution
The fourth proportional to 4,737,789,440,798, 6,538,149,428,302 and 2,710,116,694,814 is: 3,739,961,038,843.76
Step by Step Solution
- Step 1: Write the proportion equation
4,737,789,440,798 : 6,538,149,428,302 = 2,710,116,694,814 : x - Step 2: Convert to fraction form
4,737,789,440,798/6,538,149,428,302 = 2,710,116,694,814/x - Step 3: Cross multiply
4,737,789,440,798x = 6,538,149,428,302 × 2,710,116,694,814 - Step 4: Simplify right side
4,737,789,440,798x = 17,719,147,918,829,860,920,754,176 - Step 5: Solve for x
x = 17,719,147,918,829,860,920,754,176/4,737,789,440,798 - Step 6: Final answer
x = 3,739,961,038,843.76
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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.