Finding the Fourth Proportional to 11,227,145,889,906, 15,493,552,297,970 and 6,221,475,645,932.40
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Solution
The fourth proportional to 11,227,145,889,906, 15,493,552,297,970 and 6,221,475,645,932.40 is: 8,585,686,801,973.80
Step by Step Solution
- Step 1: Write the proportion equation
11,227,145,889,906 : 15,493,552,297,970 = 6,221,475,645,932.40 : x - Step 2: Convert to fraction form
11,227,145,889,906/15,493,552,297,970 = 6,221,475,645,932.40/x - Step 3: Cross multiply
11,227,145,889,906x = 15,493,552,297,970 × 6,221,475,645,932.40 - Step 4: Simplify right side
11,227,145,889,906x = 96,392,758,290,800,334,675,640,320 - Step 5: Solve for x
x = 96,392,758,290,800,334,675,640,320/11,227,145,889,906 - Step 6: Final answer
x = 8,585,686,801,973.80
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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.