Finding the Fourth Proportional to 2,303,047,596,519, 3,178,305,587,741.70 and 1,275,379,185,456.10
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Solution
The fourth proportional to 2,303,047,596,519, 3,178,305,587,741.70 and 1,275,379,185,456.10 is: 1,760,078,600,959.62
Step by Step Solution
- Step 1: Write the proportion equation
2,303,047,596,519 : 3,178,305,587,741.70 = 1,275,379,185,456.10 : x - Step 2: Convert to fraction form
2,303,047,596,519/3,178,305,587,741.70 = 1,275,379,185,456.10/x - Step 3: Cross multiply
2,303,047,596,519x = 3,178,305,587,741.70 × 1,275,379,185,456.10 - Step 4: Simplify right side
2,303,047,596,519x = 4,053,544,791,624,580,838,981,632 - Step 5: Solve for x
x = 4,053,544,791,624,580,838,981,632/2,303,047,596,519 - Step 6: Final answer
x = 1,760,078,600,959.62
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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.