Finding the Fourth Proportional to 9,586,733,232,338.50, 14,378,646,893,275 and 2,609,147,268,869.30
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Solution
The fourth proportional to 9,586,733,232,338.50, 14,378,646,893,275 and 2,609,147,268,869.30 is: 3,913,325,463,680.73
Step by Step Solution
- Step 1: Write the proportion equation
9,586,733,232,338.50 : 14,378,646,893,275 = 2,609,147,268,869.30 : x - Step 2: Convert to fraction form
9,586,733,232,338.50/14,378,646,893,275 = 2,609,147,268,869.30/x - Step 3: Cross multiply
9,586,733,232,338.50x = 14,378,646,893,275 × 2,609,147,268,869.30 - Step 4: Simplify right side
9,586,733,232,338.50x = 37,516,007,271,624,509,696,770,048 - Step 5: Solve for x
x = 37,516,007,271,624,509,696,770,048/9,586,733,232,338.50 - Step 6: Final answer
x = 3,913,325,463,680.73
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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.