Finding the Fourth Proportional to 31,202,422,316,452, 43,059,443,412,224 and 17,328,898,767,102
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Solution
The fourth proportional to 31,202,422,316,452, 43,059,443,412,224 and 17,328,898,767,102 is: 23,913,936,177,472.82
Step by Step Solution
- Step 1: Write the proportion equation
31,202,422,316,452 : 43,059,443,412,224 = 17,328,898,767,102 : x - Step 2: Convert to fraction form
31,202,422,316,452/43,059,443,412,224 = 17,328,898,767,102/x - Step 3: Cross multiply
31,202,422,316,452x = 43,059,443,412,224 × 17,328,898,767,102 - Step 4: Simplify right side
31,202,422,316,452x = 746,172,735,858,186,871,495,458,816 - Step 5: Solve for x
x = 746,172,735,858,186,871,495,458,816/31,202,422,316,452 - Step 6: Final answer
x = 23,913,936,177,472.82
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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.