Finding the Fourth Proportional to 9,586,733,232,308.40, 14,378,646,893,229 and 2,609,147,268,838.80
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Solution
The fourth proportional to 9,586,733,232,308.40, 14,378,646,893,229 and 2,609,147,268,838.80 is: 3,913,325,463,634.75
Step by Step Solution
- Step 1: Write the proportion equation
9,586,733,232,308.40 : 14,378,646,893,229 = 2,609,147,268,838.80 : x - Step 2: Convert to fraction form
9,586,733,232,308.40/14,378,646,893,229 = 2,609,147,268,838.80/x - Step 3: Cross multiply
9,586,733,232,308.40x = 14,378,646,893,229 × 2,609,147,268,838.80 - Step 4: Simplify right side
9,586,733,232,308.40x = 37,516,007,271,065,940,609,990,656 - Step 5: Solve for x
x = 37,516,007,271,065,940,609,990,656/9,586,733,232,308.40 - Step 6: Final answer
x = 3,913,325,463,634.75
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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.