Finding the Fourth Proportional to 9,586,733,232,318.40, 14,378,646,893,244 and 2,609,147,268,848.70
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Solution
The fourth proportional to 9,586,733,232,318.40, 14,378,646,893,244 and 2,609,147,268,848.70 is: 3,913,325,463,649.60
Step by Step Solution
- Step 1: Write the proportion equation
9,586,733,232,318.40 : 14,378,646,893,244 = 2,609,147,268,848.70 : x - Step 2: Convert to fraction form
9,586,733,232,318.40/14,378,646,893,244 = 2,609,147,268,848.70/x - Step 3: Cross multiply
9,586,733,232,318.40x = 14,378,646,893,244 × 2,609,147,268,848.70 - Step 4: Simplify right side
9,586,733,232,318.40x = 37,516,007,271,247,428,748,050,432 - Step 5: Solve for x
x = 37,516,007,271,247,428,748,050,432/9,586,733,232,318.40 - Step 6: Final answer
x = 3,913,325,463,649.60
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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.