Finding the Fourth Proportional to 39,611,677,020,156, 59,444,656,616,540 and 13,825,019,112,512
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Solution
The fourth proportional to 39,611,677,020,156, 59,444,656,616,540 and 13,825,019,112,512 is: 20,747,001,280,511.35
Step by Step Solution
- Step 1: Write the proportion equation
39,611,677,020,156 : 59,444,656,616,540 = 13,825,019,112,512 : x - Step 2: Convert to fraction form
39,611,677,020,156/59,444,656,616,540 = 13,825,019,112,512/x - Step 3: Cross multiply
39,611,677,020,156x = 59,444,656,616,540 × 13,825,019,112,512 - Step 4: Simplify right side
39,611,677,020,156x = 821,823,513,860,378,472,457,699,328 - Step 5: Solve for x
x = 821,823,513,860,378,472,457,699,328/39,611,677,020,156 - Step 6: Final answer
x = 20,747,001,280,511.35
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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.