Finding the Fourth Proportional to 30,672,667,230,742, 42,329,611,336,628 and 16,985,876,195,350
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Solution
The fourth proportional to 30,672,667,230,742, 42,329,611,336,628 and 16,985,876,195,350 is: 23,441,245,984,653.61
Step by Step Solution
- Step 1: Write the proportion equation
30,672,667,230,742 : 42,329,611,336,628 = 16,985,876,195,350 : x - Step 2: Convert to fraction form
30,672,667,230,742/42,329,611,336,628 = 16,985,876,195,350/x - Step 3: Cross multiply
30,672,667,230,742x = 42,329,611,336,628 × 16,985,876,195,350 - Step 4: Simplify right side
30,672,667,230,742x = 719,005,537,561,247,090,544,214,016 - Step 5: Solve for x
x = 719,005,537,561,247,090,544,214,016/30,672,667,230,742 - Step 6: Final answer
x = 23,441,245,984,653.61
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.