Finding the Fourth Proportional to 849,202,097,424.70, 1,273,982,044,357.70 and 275,473,411,968.78
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Solution
The fourth proportional to 849,202,097,424.70, 1,273,982,044,357.70 and 275,473,411,968.78 is: 413,268,150,903.62
Step by Step Solution
- Step 1: Write the proportion equation
849,202,097,424.70 : 1,273,982,044,357.70 = 275,473,411,968.78 : x - Step 2: Convert to fraction form
849,202,097,424.70/1,273,982,044,357.70 = 275,473,411,968.78/x - Step 3: Cross multiply
849,202,097,424.70x = 1,273,982,044,357.70 × 275,473,411,968.78 - Step 4: Simplify right side
849,202,097,424.70x = 350,948,180,546,177,290,207,232 - Step 5: Solve for x
x = 350,948,180,546,177,290,207,232/849,202,097,424.70 - Step 6: Final answer
x = 413,268,150,903.62
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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.