Finding the Fourth Proportional to 9,586,733,232,234.60, 14,378,646,893,119 and 2,609,147,268,765.20
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Solution
The fourth proportional to 9,586,733,232,234.60, 14,378,646,893,119 and 2,609,147,268,765.20 is: 3,913,325,463,524.55
Step by Step Solution
- Step 1: Write the proportion equation
9,586,733,232,234.60 : 14,378,646,893,119 = 2,609,147,268,765.20 : x - Step 2: Convert to fraction form
9,586,733,232,234.60/14,378,646,893,119 = 2,609,147,268,765.20/x - Step 3: Cross multiply
9,586,733,232,234.60x = 14,378,646,893,119 × 2,609,147,268,765.20 - Step 4: Simplify right side
9,586,733,232,234.60x = 37,516,007,269,720,670,953,537,536 - Step 5: Solve for x
x = 37,516,007,269,720,670,953,537,536/9,586,733,232,234.60 - Step 6: Final answer
x = 3,913,325,463,524.55
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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.