Finding the Fourth Proportional to 10,251,507,209,347, 14,147,093,958,273 and 5,563,906,046,645
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Solution
The fourth proportional to 10,251,507,209,347, 14,147,093,958,273 and 5,563,906,046,645 is: 7,678,197,947,821.95
Step by Step Solution
- Step 1: Write the proportion equation
10,251,507,209,347 : 14,147,093,958,273 = 5,563,906,046,645 : x - Step 2: Convert to fraction form
10,251,507,209,347/14,147,093,958,273 = 5,563,906,046,645/x - Step 3: Cross multiply
10,251,507,209,347x = 14,147,093,958,273 × 5,563,906,046,645 - Step 4: Simplify right side
10,251,507,209,347x = 78,713,101,616,890,099,194,134,528 - Step 5: Solve for x
x = 78,713,101,616,890,099,194,134,528/10,251,507,209,347 - Step 6: Final answer
x = 7,678,197,947,821.95
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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.