Finding the Fourth Proportional to 614,163,512,942.24, 921,370,916,512.74 and 211,194,649,456.76
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Solution
The fourth proportional to 614,163,512,942.24, 921,370,916,512.74 and 211,194,649,456.76 is: 316,835,180,911.93
Step by Step Solution
- Step 1: Write the proportion equation
614,163,512,942.24 : 921,370,916,512.74 = 211,194,649,456.76 : x - Step 2: Convert to fraction form
614,163,512,942.24/921,370,916,512.74 = 211,194,649,456.76/x - Step 3: Cross multiply
614,163,512,942.24x = 921,370,916,512.74 × 211,194,649,456.76 - Step 4: Simplify right side
614,163,512,942.24x = 194,588,607,732,561,808,982,016 - Step 5: Solve for x
x = 194,588,607,732,561,808,982,016/614,163,512,942.24 - Step 6: Final answer
x = 316,835,180,911.93
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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.