Finding the Fourth Proportional to 21,122,326,813,382, 31,683,450,673,780 and 6,618,442,083,338
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Solution
The fourth proportional to 21,122,326,813,382, 31,683,450,673,780 and 6,618,442,083,338 is: 9,927,650,733,623.60
Step by Step Solution
- Step 1: Write the proportion equation
21,122,326,813,382 : 31,683,450,673,780 = 6,618,442,083,338 : x - Step 2: Convert to fraction form
21,122,326,813,382/31,683,450,673,780 = 6,618,442,083,338/x - Step 3: Cross multiply
21,122,326,813,382x = 31,683,450,673,780 × 6,618,442,083,338 - Step 4: Simplify right side
21,122,326,813,382x = 209,695,083,284,709,262,728,626,176 - Step 5: Solve for x
x = 209,695,083,284,709,262,728,626,176/21,122,326,813,382 - Step 6: Final answer
x = 9,927,650,733,623.60
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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.