Finding the Fourth Proportional to 23,318,356,917,460, 32,180,344,079,608 and 12,913,214,255,446
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Solution
The fourth proportional to 23,318,356,917,460, 32,180,344,079,608 and 12,913,214,255,446 is: 17,820,795,838,440.92
Step by Step Solution
- Step 1: Write the proportion equation
23,318,356,917,460 : 32,180,344,079,608 = 12,913,214,255,446 : x - Step 2: Convert to fraction form
23,318,356,917,460/32,180,344,079,608 = 12,913,214,255,446/x - Step 3: Cross multiply
23,318,356,917,460x = 32,180,344,079,608 × 12,913,214,255,446 - Step 4: Simplify right side
23,318,356,917,460x = 415,551,677,913,951,294,508,236,800 - Step 5: Solve for x
x = 415,551,677,913,951,294,508,236,800/23,318,356,917,460 - Step 6: Final answer
x = 17,820,795,838,440.92
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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.