Finding the Fourth Proportional to 678,149,213,092.79, 1,017,422,316,890.50 and 218,674,642,438.77
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Solution
The fourth proportional to 678,149,213,092.79, 1,017,422,316,890.50 and 218,674,642,438.77 is: 328,075,970,685.84
Step by Step Solution
- Step 1: Write the proportion equation
678,149,213,092.79 : 1,017,422,316,890.50 = 218,674,642,438.77 : x - Step 2: Convert to fraction form
678,149,213,092.79/1,017,422,316,890.50 = 218,674,642,438.77/x - Step 3: Cross multiply
678,149,213,092.79x = 1,017,422,316,890.50 × 218,674,642,438.77 - Step 4: Simplify right side
678,149,213,092.79x = 222,484,461,355,255,010,951,168 - Step 5: Solve for x
x = 222,484,461,355,255,010,951,168/678,149,213,092.79 - Step 6: Final answer
x = 328,075,970,685.84
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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.