Finding the Fourth Proportional to 6,316,082,860,949, 8,716,187,737,553.50 and 3,538,264,645,653.80
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Solution
The fourth proportional to 6,316,082,860,949, 8,716,187,737,553.50 and 3,538,264,645,653.80 is: 4,882,801,507,773.91
Step by Step Solution
- Step 1: Write the proportion equation
6,316,082,860,949 : 8,716,187,737,553.50 = 3,538,264,645,653.80 : x - Step 2: Convert to fraction form
6,316,082,860,949/8,716,187,737,553.50 = 3,538,264,645,653.80/x - Step 3: Cross multiply
6,316,082,860,949x = 8,716,187,737,553.50 × 3,538,264,645,653.80 - Step 4: Simplify right side
6,316,082,860,949x = 30,840,178,916,666,727,825,670,144 - Step 5: Solve for x
x = 30,840,178,916,666,727,825,670,144/6,316,082,860,949 - Step 6: Final answer
x = 4,882,801,507,773.91
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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.