Finding the Fourth Proportional to 196,227,280,838.08, 294,343,264,917.64 and 54,728,093,352.88
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Solution
The fourth proportional to 196,227,280,838.08, 294,343,264,917.64 and 54,728,093,352.88 is: 82,092,793,679.88
Step by Step Solution
- Step 1: Write the proportion equation
196,227,280,838.08 : 294,343,264,917.64 = 54,728,093,352.88 : x - Step 2: Convert to fraction form
196,227,280,838.08/294,343,264,917.64 = 54,728,093,352.88/x - Step 3: Cross multiply
196,227,280,838.08x = 294,343,264,917.64 × 54,728,093,352.88 - Step 4: Simplify right side
196,227,280,838.08x = 16,108,845,680,204,091,228,160 - Step 5: Solve for x
x = 16,108,845,680,204,091,228,160/196,227,280,838.08 - Step 6: Final answer
x = 82,092,793,679.88
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.