Finding the Fourth Proportional to 21,122,326,813,383, 31,683,450,673,782 and 6,618,442,083,339
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Solution
The fourth proportional to 21,122,326,813,383, 31,683,450,673,782 and 6,618,442,083,339 is: 9,927,650,733,625.26
Step by Step Solution
- Step 1: Write the proportion equation
21,122,326,813,383 : 31,683,450,673,782 = 6,618,442,083,339 : x - Step 2: Convert to fraction form
21,122,326,813,383/31,683,450,673,782 = 6,618,442,083,339/x - Step 3: Cross multiply
21,122,326,813,383x = 31,683,450,673,782 × 6,618,442,083,339 - Step 4: Simplify right side
21,122,326,813,383x = 209,695,083,284,754,170,906,673,152 - Step 5: Solve for x
x = 209,695,083,284,754,170,906,673,152/21,122,326,813,383 - Step 6: Final answer
x = 9,927,650,733,625.26
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.