Finding the Fourth Proportional to 35,348,685,159,837, 48,774,110,660,409 and 19,738,569,320,586
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Solution
The fourth proportional to 35,348,685,159,837, 48,774,110,660,409 and 19,738,569,320,586 is: 27,235,275,087,806.27
Step by Step Solution
- Step 1: Write the proportion equation
35,348,685,159,837 : 48,774,110,660,409 = 19,738,569,320,586 : x - Step 2: Convert to fraction form
35,348,685,159,837/48,774,110,660,409 = 19,738,569,320,586/x - Step 3: Cross multiply
35,348,685,159,837x = 48,774,110,660,409 × 19,738,569,320,586 - Step 4: Simplify right side
35,348,685,159,837x = 962,731,164,320,415,620,075,094,016 - Step 5: Solve for x
x = 962,731,164,320,415,620,075,094,016/35,348,685,159,837 - Step 6: Final answer
x = 27,235,275,087,806.27
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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.