Finding the Fourth Proportional to 1,340,350,310,857, 2,010,512,216,950.70 and 614,075,631,802.98
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Solution
The fourth proportional to 1,340,350,310,857, 2,010,512,216,950.70 and 614,075,631,802.98 is: 921,107,377,579.69
Step by Step Solution
- Step 1: Write the proportion equation
1,340,350,310,857 : 2,010,512,216,950.70 = 614,075,631,802.98 : x - Step 2: Convert to fraction form
1,340,350,310,857/2,010,512,216,950.70 = 614,075,631,802.98/x - Step 3: Cross multiply
1,340,350,310,857x = 2,010,512,216,950.70 × 614,075,631,802.98 - Step 4: Simplify right side
1,340,350,310,857x = 1,234,606,559,871,611,076,345,856 - Step 5: Solve for x
x = 1,234,606,559,871,611,076,345,856/1,340,350,310,857 - Step 6: Final answer
x = 921,107,377,579.69
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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.