Finding the Fourth Proportional to 75,648,156,531.20, 113,472,450,213.60 and 21,869,670,072
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Solution
The fourth proportional to 75,648,156,531.20, 113,472,450,213.60 and 21,869,670,072 is: 32,804,567,384.40
Step by Step Solution
- Step 1: Write the proportion equation
75,648,156,531.20 : 113,472,450,213.60 = 21,869,670,072 : x - Step 2: Convert to fraction form
75,648,156,531.20/113,472,450,213.60 = 21,869,670,072/x - Step 3: Cross multiply
75,648,156,531.20x = 113,472,450,213.60 × 21,869,670,072 - Step 4: Simplify right side
75,648,156,531.20x = 2,481,605,048,432,878,157,824 - Step 5: Solve for x
x = 2,481,605,048,432,878,157,824/75,648,156,531.20 - Step 6: Final answer
x = 32,804,567,384.40
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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.