Finding the Fourth Proportional to 10,697,038,848,265, 16,045,558,272,398 and 10,697,038,848,265
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Solution
The fourth proportional to 10,697,038,848,265, 16,045,558,272,398 and 10,697,038,848,265 is: 16,045,558,272,398
Step by Step Solution
- Step 1: Write the proportion equation
10,697,038,848,265 : 16,045,558,272,398 = 10,697,038,848,265 : x - Step 2: Convert to fraction form
10,697,038,848,265/16,045,558,272,398 = 10,697,038,848,265/x - Step 3: Cross multiply
10,697,038,848,265x = 16,045,558,272,398 × 10,697,038,848,265 - Step 4: Simplify right side
10,697,038,848,265x = 171,639,960,181,941,253,026,349,056 - Step 5: Solve for x
x = 171,639,960,181,941,253,026,349,056/10,697,038,848,265 - Step 6: Final answer
x = 16,045,558,272,398
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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.