Finding the Fourth Proportional to 8,017,678,868,729.20, 11,064,396,225,262 and 4,363,772,939,219.20
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Solution
The fourth proportional to 8,017,678,868,729.20, 11,064,396,225,262 and 4,363,772,939,219.20 is: 6,022,006,322,167.67
Step by Step Solution
- Step 1: Write the proportion equation
8,017,678,868,729.20 : 11,064,396,225,262 = 4,363,772,939,219.20 : x - Step 2: Convert to fraction form
8,017,678,868,729.20/11,064,396,225,262 = 4,363,772,939,219.20/x - Step 3: Cross multiply
8,017,678,868,729.20x = 11,064,396,225,262 × 4,363,772,939,219.20 - Step 4: Simplify right side
8,017,678,868,729.20x = 48,282,512,836,597,385,718,136,832 - Step 5: Solve for x
x = 48,282,512,836,597,385,718,136,832/8,017,678,868,729.20 - Step 6: Final answer
x = 6,022,006,322,167.67
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1.5x scale
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.