Finding the Fourth Proportional to 29,841,396,225.98, 41,184,737,947.74 and 16,984,162,403.94
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Solution
The fourth proportional to 29,841,396,225.98, 41,184,737,947.74 and 16,984,162,403.94 is: 23,440,199,398.55
Step by Step Solution
- Step 1: Write the proportion equation
29,841,396,225.98 : 41,184,737,947.74 = 16,984,162,403.94 : x - Step 2: Convert to fraction form
29,841,396,225.98/41,184,737,947.74 = 16,984,162,403.94/x - Step 3: Cross multiply
29,841,396,225.98x = 41,184,737,947.74 × 16,984,162,403.94 - Step 4: Simplify right side
29,841,396,225.98x = 699,488,277,868,126,666,752 - Step 5: Solve for x
x = 699,488,277,868,126,666,752/29,841,396,225.98 - Step 6: Final answer
x = 23,440,199,398.55
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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.