Finding the Fourth Proportional to 13,588,602,302,144, 18,752,270,459,701 and 7,338,466,720,846
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Solution
The fourth proportional to 13,588,602,302,144, 18,752,270,459,701 and 7,338,466,720,846 is: 10,127,083,687,415.51
Step by Step Solution
- Step 1: Write the proportion equation
13,588,602,302,144 : 18,752,270,459,701 = 7,338,466,720,846 : x - Step 2: Convert to fraction form
13,588,602,302,144/18,752,270,459,701 = 7,338,466,720,846/x - Step 3: Cross multiply
13,588,602,302,144x = 18,752,270,459,701 × 7,338,466,720,846 - Step 4: Simplify right side
13,588,602,302,144x = 137,612,912,708,819,310,499,332,096 - Step 5: Solve for x
x = 137,612,912,708,819,310,499,332,096/13,588,602,302,144 - Step 6: Final answer
x = 10,127,083,687,415.51
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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.