Finding the Fourth Proportional to 11,012,785,383, 15,197,646,015.36 and 6,000,532,806.36
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Solution
The fourth proportional to 11,012,785,383, 15,197,646,015.36 and 6,000,532,806.36 is: 8,280,736,464.31
Step by Step Solution
- Step 1: Write the proportion equation
11,012,785,383 : 15,197,646,015.36 = 6,000,532,806.36 : x - Step 2: Convert to fraction form
11,012,785,383/15,197,646,015.36 = 6,000,532,806.36/x - Step 3: Cross multiply
11,012,785,383x = 15,197,646,015.36 × 6,000,532,806.36 - Step 4: Simplify right side
11,012,785,383x = 91,193,973,494,614,016,000 - Step 5: Solve for x
x = 91,193,973,494,614,016,000/11,012,785,383 - Step 6: Final answer
x = 8,280,736,464.31
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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.