Finding the Fourth Proportional to 42,943,649,563,437, 64,415,715,154,854 and 14,324,044,631,792
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Solution
The fourth proportional to 42,943,649,563,437, 64,415,715,154,854 and 14,324,044,631,792 is: 21,486,147,270,830.17
Step by Step Solution
- Step 1: Write the proportion equation
42,943,649,563,437 : 64,415,715,154,854 = 14,324,044,631,792 : x - Step 2: Convert to fraction form
42,943,649,563,437/64,415,715,154,854 = 14,324,044,631,792/x - Step 3: Cross multiply
42,943,649,563,437x = 64,415,715,154,854 × 14,324,044,631,792 - Step 4: Simplify right side
42,943,649,563,437x = 922,693,578,866,929,075,105,038,336 - Step 5: Solve for x
x = 922,693,578,866,929,075,105,038,336/42,943,649,563,437 - Step 6: Final answer
x = 21,486,147,270,830.17
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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.