Finding the Fourth Proportional to 47,679,809,438,272, 65,810,379,413,760 and 31,054,212,316,680
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Solution
The fourth proportional to 47,679,809,438,272, 65,810,379,413,760 and 31,054,212,316,680 is: 42,862,786,555,428.75
Step by Step Solution
- Step 1: Write the proportion equation
47,679,809,438,272 : 65,810,379,413,760 = 31,054,212,316,680 : x - Step 2: Convert to fraction form
47,679,809,438,272/65,810,379,413,760 = 31,054,212,316,680/x - Step 3: Cross multiply
47,679,809,438,272x = 65,810,379,413,760 × 31,054,212,316,680 - Step 4: Simplify right side
47,679,809,438,272x = 2,043,689,494,956,169,821,398,499,328 - Step 5: Solve for x
x = 2,043,689,494,956,169,821,398,499,328/47,679,809,438,272 - Step 6: Final answer
x = 42,862,786,555,428.75
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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.