Finding the Fourth Proportional to 31,980,078,725,514, 44,132,508,641,214 and 18,293,287,690,124
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Solution
The fourth proportional to 31,980,078,725,514, 44,132,508,641,214 and 18,293,287,690,124 is: 25,244,737,012,373.80
Step by Step Solution
- Step 1: Write the proportion equation
31,980,078,725,514 : 44,132,508,641,214 = 18,293,287,690,124 : x - Step 2: Convert to fraction form
31,980,078,725,514/44,132,508,641,214 = 18,293,287,690,124/x - Step 3: Cross multiply
31,980,078,725,514x = 44,132,508,641,214 × 18,293,287,690,124 - Step 4: Simplify right side
31,980,078,725,514x = 807,328,677,060,611,173,611,732,992 - Step 5: Solve for x
x = 807,328,677,060,611,173,611,732,992/31,980,078,725,514 - Step 6: Final answer
x = 25,244,737,012,373.80
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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.