Finding the Fourth Proportional to 32,149,574,233,723, 48,224,287,791,176 and 13,779,778,591,889
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Solution
The fourth proportional to 32,149,574,233,723, 48,224,287,791,176 and 13,779,778,591,889 is: 20,669,636,359,193.18
Step by Step Solution
- Step 1: Write the proportion equation
32,149,574,233,723 : 48,224,287,791,176 = 13,779,778,591,889 : x - Step 2: Convert to fraction form
32,149,574,233,723/48,224,287,791,176 = 13,779,778,591,889/x - Step 3: Cross multiply
32,149,574,233,723x = 48,224,287,791,176 × 13,779,778,591,889 - Step 4: Simplify right side
32,149,574,233,723x = 664,520,008,513,941,133,737,328,640 - Step 5: Solve for x
x = 664,520,008,513,941,133,737,328,640/32,149,574,233,723 - Step 6: Final answer
x = 20,669,636,359,193.18
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.