Finding the Fourth Proportional to 30,367,723,361,846, 41,906,745,427,748 and 17,868,263,006,528
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Solution
The fourth proportional to 30,367,723,361,846, 41,906,745,427,748 and 17,868,263,006,528 is: 24,657,783,533,137.98
Step by Step Solution
- Step 1: Write the proportion equation
30,367,723,361,846 : 41,906,745,427,748 = 17,868,263,006,528 : x - Step 2: Convert to fraction form
30,367,723,361,846/41,906,745,427,748 = 17,868,263,006,528/x - Step 3: Cross multiply
30,367,723,361,846x = 41,906,745,427,748 × 17,868,263,006,528 - Step 4: Simplify right side
30,367,723,361,846x = 748,800,749,050,615,971,083,976,704 - Step 5: Solve for x
x = 748,800,749,050,615,971,083,976,704/30,367,723,361,846 - Step 6: Final answer
x = 24,657,783,533,137.98
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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.