Finding the Fourth Proportional to 4,894,629,415,859.20, 6,754,609,593,343 and 2,669,898,405,799.40
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Solution
The fourth proportional to 4,894,629,415,859.20, 6,754,609,593,343 and 2,669,898,405,799.40 is: 3,684,471,254,683.97
Step by Step Solution
- Step 1: Write the proportion equation
4,894,629,415,859.20 : 6,754,609,593,343 = 2,669,898,405,799.40 : x - Step 2: Convert to fraction form
4,894,629,415,859.20/6,754,609,593,343 = 2,669,898,405,799.40/x - Step 3: Cross multiply
4,894,629,415,859.20x = 6,754,609,593,343 × 2,669,898,405,799.40 - Step 4: Simplify right side
4,894,629,415,859.20x = 18,034,121,385,063,808,986,251,264 - Step 5: Solve for x
x = 18,034,121,385,063,808,986,251,264/4,894,629,415,859.20 - Step 6: Final answer
x = 3,684,471,254,683.97
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.