Finding the Fourth Proportional to 1,106,186,035,232.30, 1,527,006,762,578.80 and 689,245,878,514.70
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Solution
The fourth proportional to 1,106,186,035,232.30, 1,527,006,762,578.80 and 689,245,878,514.70 is: 951,452,182,589.24
Step by Step Solution
- Step 1: Write the proportion equation
1,106,186,035,232.30 : 1,527,006,762,578.80 = 689,245,878,514.70 : x - Step 2: Convert to fraction form
1,106,186,035,232.30/1,527,006,762,578.80 = 689,245,878,514.70/x - Step 3: Cross multiply
1,106,186,035,232.30x = 1,527,006,762,578.80 × 689,245,878,514.70 - Step 4: Simplify right side
1,106,186,035,232.30x = 1,052,483,117,571,512,878,497,792 - Step 5: Solve for x
x = 1,052,483,117,571,512,878,497,792/1,106,186,035,232.30 - Step 6: Final answer
x = 951,452,182,589.24
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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.