Finding the Fourth Proportional to 11,227,145,889,409, 15,493,552,297,282 and 6,221,475,645,434.10
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Solution
The fourth proportional to 11,227,145,889,409, 15,493,552,297,282 and 6,221,475,645,434.10 is: 8,585,686,801,284.96
Step by Step Solution
- Step 1: Write the proportion equation
11,227,145,889,409 : 15,493,552,297,282 = 6,221,475,645,434.10 : x - Step 2: Convert to fraction form
11,227,145,889,409/15,493,552,297,282 = 6,221,475,645,434.10/x - Step 3: Cross multiply
11,227,145,889,409x = 15,493,552,297,282 × 6,221,475,645,434.10 - Step 4: Simplify right side
11,227,145,889,409x = 96,392,758,278,799,508,855,848,960 - Step 5: Solve for x
x = 96,392,758,278,799,508,855,848,960/11,227,145,889,409 - Step 6: Final answer
x = 8,585,686,801,284.96
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Double scale
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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.