Finding the Fourth Proportional to 1,208,576,547,225.40, 1,667,981,886,984.80 and 687,858,577,432.95
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Solution
The fourth proportional to 1,208,576,547,225.40, 1,667,981,886,984.80 and 687,858,577,432.95 is: 949,328,075,742.74
Step by Step Solution
- Step 1: Write the proportion equation
1,208,576,547,225.40 : 1,667,981,886,984.80 = 687,858,577,432.95 : x - Step 2: Convert to fraction form
1,208,576,547,225.40/1,667,981,886,984.80 = 687,858,577,432.95/x - Step 3: Cross multiply
1,208,576,547,225.40x = 1,667,981,886,984.80 × 687,858,577,432.95 - Step 4: Simplify right side
1,208,576,547,225.40x = 1,147,335,647,965,292,080,922,624 - Step 5: Solve for x
x = 1,147,335,647,965,292,080,922,624/1,208,576,547,225.40 - Step 6: Final answer
x = 949,328,075,742.74
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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.