Finding the Fourth Proportional to 4,657,610,611,878.40, 6,986,558,247,249.20 and 1,597,920,295,420
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Solution
The fourth proportional to 4,657,610,611,878.40, 6,986,558,247,249.20 and 1,597,920,295,420 is: 2,396,929,273,121.67
Step by Step Solution
- Step 1: Write the proportion equation
4,657,610,611,878.40 : 6,986,558,247,249.20 = 1,597,920,295,420 : x - Step 2: Convert to fraction form
4,657,610,611,878.40/6,986,558,247,249.20 = 1,597,920,295,420/x - Step 3: Cross multiply
4,657,610,611,878.40x = 6,986,558,247,249.20 × 1,597,920,295,420 - Step 4: Simplify right side
4,657,610,611,878.40x = 11,163,963,218,413,480,107,311,104 - Step 5: Solve for x
x = 11,163,963,218,413,480,107,311,104/4,657,610,611,878.40 - Step 6: Final answer
x = 2,396,929,273,121.67
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.