Finding the Fourth Proportional to 16,562,208,989,601, 24,845,983,025,948 and 5,101,466,814,093
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Solution
The fourth proportional to 16,562,208,989,601, 24,845,983,025,948 and 5,101,466,814,093 is: 7,653,022,489,329.50
Step by Step Solution
- Step 1: Write the proportion equation
16,562,208,989,601 : 24,845,983,025,948 = 5,101,466,814,093 : x - Step 2: Convert to fraction form
16,562,208,989,601/24,845,983,025,948 = 5,101,466,814,093/x - Step 3: Cross multiply
16,562,208,989,601x = 24,845,983,025,948 × 5,101,466,814,093 - Step 4: Simplify right side
16,562,208,989,601x = 126,750,957,870,391,700,175,716,352 - Step 5: Solve for x
x = 126,750,957,870,391,700,175,716,352/16,562,208,989,601 - Step 6: Final answer
x = 7,653,022,489,329.50
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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.