Finding the Fourth Proportional to 42,943,649,563,434, 64,415,715,154,848 and 14,324,044,631,789
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Solution
The fourth proportional to 42,943,649,563,434, 64,415,715,154,848 and 14,324,044,631,789 is: 21,486,147,270,825.17
Step by Step Solution
- Step 1: Write the proportion equation
42,943,649,563,434 : 64,415,715,154,848 = 14,324,044,631,789 : x - Step 2: Convert to fraction form
42,943,649,563,434/64,415,715,154,848 = 14,324,044,631,789/x - Step 3: Cross multiply
42,943,649,563,434x = 64,415,715,154,848 × 14,324,044,631,789 - Step 4: Simplify right side
42,943,649,563,434x = 922,693,578,866,649,799,151,583,232 - Step 5: Solve for x
x = 922,693,578,866,649,799,151,583,232/42,943,649,563,434 - Step 6: Final answer
x = 21,486,147,270,825.17
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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.