Finding the Fourth Proportional to 678,149,213,093.80, 1,017,422,316,892 and 218,674,642,439.77
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Solution
The fourth proportional to 678,149,213,093.80, 1,017,422,316,892 and 218,674,642,439.77 is: 328,075,970,687.33
Step by Step Solution
- Step 1: Write the proportion equation
678,149,213,093.80 : 1,017,422,316,892 = 218,674,642,439.77 : x - Step 2: Convert to fraction form
678,149,213,093.80/1,017,422,316,892 = 218,674,642,439.77/x - Step 3: Cross multiply
678,149,213,093.80x = 1,017,422,316,892 × 218,674,642,439.77 - Step 4: Simplify right side
678,149,213,093.80x = 222,484,461,356,600,443,011,072 - Step 5: Solve for x
x = 222,484,461,356,600,443,011,072/678,149,213,093.80 - Step 6: Final answer
x = 328,075,970,687.33
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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.