Finding the Fourth Proportional to 20,557,653,526,614, 30,829,938,069,342 and 6,786,676,169,736
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Solution
The fourth proportional to 20,557,653,526,614, 30,829,938,069,342 and 6,786,676,169,736 is: 10,177,854,478,321.99
Step by Step Solution
- Step 1: Write the proportion equation
20,557,653,526,614 : 30,829,938,069,342 = 6,786,676,169,736 : x - Step 2: Convert to fraction form
20,557,653,526,614/30,829,938,069,342 = 6,786,676,169,736/x - Step 3: Cross multiply
20,557,653,526,614x = 30,829,938,069,342 × 6,786,676,169,736 - Step 4: Simplify right side
20,557,653,526,614x = 209,232,806,009,640,057,470,713,856 - Step 5: Solve for x
x = 209,232,806,009,640,057,470,713,856/20,557,653,526,614 - Step 6: Final answer
x = 10,177,854,478,321.99
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.