Finding the Fourth Proportional to 19,749,430,633,010, 27,248,065,563,758 and 11,412,880,230,062
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Solution
The fourth proportional to 19,749,430,633,010, 27,248,065,563,758 and 11,412,880,230,062 is: 15,746,221,476,393.56
Step by Step Solution
- Step 1: Write the proportion equation
19,749,430,633,010 : 27,248,065,563,758 = 11,412,880,230,062 : x - Step 2: Convert to fraction form
19,749,430,633,010/27,248,065,563,758 = 11,412,880,230,062/x - Step 3: Cross multiply
19,749,430,633,010x = 27,248,065,563,758 × 11,412,880,230,062 - Step 4: Simplify right side
19,749,430,633,010x = 310,978,908,780,046,861,436,190,720 - Step 5: Solve for x
x = 310,978,908,780,046,861,436,190,720/19,749,430,633,010 - Step 6: Final answer
x = 15,746,221,476,393.56
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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.