Finding the Fourth Proportional to 4,495,638,469,840.80, 6,731,843,929,997 and 3,102,734,721,963.60
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Solution
The fourth proportional to 4,495,638,469,840.80, 6,731,843,929,997 and 3,102,734,721,963.60 is: 4,646,086,655,891.89
Step by Step Solution
- Step 1: Write the proportion equation
4,495,638,469,840.80 : 6,731,843,929,997 = 3,102,734,721,963.60 : x - Step 2: Convert to fraction form
4,495,638,469,840.80/6,731,843,929,997 = 3,102,734,721,963.60/x - Step 3: Cross multiply
4,495,638,469,840.80x = 6,731,843,929,997 × 3,102,734,721,963.60 - Step 4: Simplify right side
4,495,638,469,840.80x = 20,887,125,904,441,589,056,405,504 - Step 5: Solve for x
x = 20,887,125,904,441,589,056,405,504/4,495,638,469,840.80 - Step 6: Final answer
x = 4,646,086,655,891.89
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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.