Finding the Fourth Proportional to 4,894,629,415,857, 6,754,609,593,341.20 and 2,669,898,405,796.80
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Solution
The fourth proportional to 4,894,629,415,857, 6,754,609,593,341.20 and 2,669,898,405,796.80 is: 3,684,471,254,681.06
Step by Step Solution
- Step 1: Write the proportion equation
4,894,629,415,857 : 6,754,609,593,341.20 = 2,669,898,405,796.80 : x - Step 2: Convert to fraction form
4,894,629,415,857/6,754,609,593,341.20 = 2,669,898,405,796.80/x - Step 3: Cross multiply
4,894,629,415,857x = 6,754,609,593,341.20 × 2,669,898,405,796.80 - Step 4: Simplify right side
4,894,629,415,857x = 18,034,121,385,041,440,796,573,696 - Step 5: Solve for x
x = 18,034,121,385,041,440,796,573,696/4,894,629,415,857 - Step 6: Final answer
x = 3,684,471,254,681.06
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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.