Finding the Fourth Proportional to 6,746,957,108,628, 10,117,245,361,150 and 2,613,705,042,198
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Solution
The fourth proportional to 6,746,957,108,628, 10,117,245,361,150 and 2,613,705,042,198 is: 3,919,321,671,657.91
Step by Step Solution
- Step 1: Write the proportion equation
6,746,957,108,628 : 10,117,245,361,150 = 2,613,705,042,198 : x - Step 2: Convert to fraction form
6,746,957,108,628/10,117,245,361,150 = 2,613,705,042,198/x - Step 3: Cross multiply
6,746,957,108,628x = 10,117,245,361,150 × 2,613,705,042,198 - Step 4: Simplify right side
6,746,957,108,628x = 26,443,495,213,592,081,166,499,840 - Step 5: Solve for x
x = 26,443,495,213,592,081,166,499,840/6,746,957,108,628 - Step 6: Final answer
x = 3,919,321,671,657.91
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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.