Finding the Fourth Proportional to 31,980,078,725,300, 44,132,508,640,920 and 18,293,287,689,909
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Solution
The fourth proportional to 31,980,078,725,300, 44,132,508,640,920 and 18,293,287,689,909 is: 25,244,737,012,077.85
Step by Step Solution
- Step 1: Write the proportion equation
31,980,078,725,300 : 44,132,508,640,920 = 18,293,287,689,909 : x - Step 2: Convert to fraction form
31,980,078,725,300/44,132,508,640,920 = 18,293,287,689,909/x - Step 3: Cross multiply
31,980,078,725,300x = 44,132,508,640,920 × 18,293,287,689,909 - Step 4: Simplify right side
31,980,078,725,300x = 807,328,677,045,744,402,014,666,752 - Step 5: Solve for x
x = 807,328,677,045,744,402,014,666,752/31,980,078,725,300 - Step 6: Final answer
x = 25,244,737,012,077.85
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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.