Finding the Fourth Proportional to 13,417,011,922,814, 20,123,852,161,470 and 3,615,851,649,450
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Solution
The fourth proportional to 13,417,011,922,814, 20,123,852,161,470 and 3,615,851,649,450 is: 5,423,328,565,998.47
Step by Step Solution
- Step 1: Write the proportion equation
13,417,011,922,814 : 20,123,852,161,470 = 3,615,851,649,450 : x - Step 2: Convert to fraction form
13,417,011,922,814/20,123,852,161,470 = 3,615,851,649,450/x - Step 3: Cross multiply
13,417,011,922,814x = 20,123,852,161,470 × 3,615,851,649,450 - Step 4: Simplify right side
13,417,011,922,814x = 72,764,864,031,339,248,409,903,104 - Step 5: Solve for x
x = 72,764,864,031,339,248,409,903,104/13,417,011,922,814 - Step 6: Final answer
x = 5,423,328,565,998.47
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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.