Finding the Fourth Proportional to 7,660,761,382.08, 10,571,845,932.12 and 4,140,496,198.08
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Solution
The fourth proportional to 7,660,761,382.08, 10,571,845,932.12 and 4,140,496,198.08 is: 5,713,882,172.47
Step by Step Solution
- Step 1: Write the proportion equation
7,660,761,382.08 : 10,571,845,932.12 = 4,140,496,198.08 : x - Step 2: Convert to fraction form
7,660,761,382.08/10,571,845,932.12 = 4,140,496,198.08/x - Step 3: Cross multiply
7,660,761,382.08x = 10,571,845,932.12 × 4,140,496,198.08 - Step 4: Simplify right side
7,660,761,382.08x = 43,772,687,888,630,374,400 - Step 5: Solve for x
x = 43,772,687,888,630,374,400/7,660,761,382.08 - Step 6: Final answer
x = 5,713,882,172.47
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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.