Finding the Fourth Proportional to 294,623,541,594, 406,579,722,673.74 and 164,411,030,907.96
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Solution
The fourth proportional to 294,623,541,594, 406,579,722,673.74 and 164,411,030,907.96 is: 226,886,795,907.09
Step by Step Solution
- Step 1: Write the proportion equation
294,623,541,594 : 406,579,722,673.74 = 164,411,030,907.96 : x - Step 2: Convert to fraction form
294,623,541,594/406,579,722,673.74 = 164,411,030,907.96/x - Step 3: Cross multiply
294,623,541,594x = 406,579,722,673.74 × 164,411,030,907.96 - Step 4: Simplify right side
294,623,541,594x = 66,846,191,351,062,065,053,696 - Step 5: Solve for x
x = 66,846,191,351,062,065,053,696/294,623,541,594 - Step 6: Final answer
x = 226,886,795,907.09
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.