Finding the Fourth Proportional to 11,403,460,214,378, 15,737,073,347,469 and 6,201,193,143,986
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Solution
The fourth proportional to 11,403,460,214,378, 15,737,073,347,469 and 6,201,193,143,986 is: 8,557,808,727,712.79
Step by Step Solution
- Step 1: Write the proportion equation
11,403,460,214,378 : 15,737,073,347,469 = 6,201,193,143,986 : x - Step 2: Convert to fraction form
11,403,460,214,378/15,737,073,347,469 = 6,201,193,143,986/x - Step 3: Cross multiply
11,403,460,214,378x = 15,737,073,347,469 × 6,201,193,143,986 - Step 4: Simplify right side
11,403,460,214,378x = 97,588,631,348,729,582,104,608,768 - Step 5: Solve for x
x = 97,588,631,348,729,582,104,608,768/11,403,460,214,378 - Step 6: Final answer
x = 8,557,808,727,712.79
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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.