Finding the Fourth Proportional to 36,546,939,603,005, 54,808,778,790,138 and 12,065,202,079,663
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Solution
The fourth proportional to 36,546,939,603,005, 54,808,778,790,138 and 12,065,202,079,663 is: 18,093,963,517,213.08
Step by Step Solution
- Step 1: Write the proportion equation
36,546,939,603,005 : 54,808,778,790,138 = 12,065,202,079,663 : x - Step 2: Convert to fraction form
36,546,939,603,005/54,808,778,790,138 = 12,065,202,079,663/x - Step 3: Cross multiply
36,546,939,603,005x = 54,808,778,790,138 × 12,065,202,079,663 - Step 4: Simplify right side
36,546,939,603,005x = 661,278,991,842,562,334,032,658,432 - Step 5: Solve for x
x = 661,278,991,842,562,334,032,658,432/36,546,939,603,005 - Step 6: Final answer
x = 18,093,963,517,213.08
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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.