Finding the Fourth Proportional to 150,206,694,180.03, 225,344,891,427.35 and 49,473,946,844.01
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Solution
The fourth proportional to 150,206,694,180.03, 225,344,891,427.35 and 49,473,946,844.01 is: 74,222,398,947.70
Step by Step Solution
- Step 1: Write the proportion equation
150,206,694,180.03 : 225,344,891,427.35 = 49,473,946,844.01 : x - Step 2: Convert to fraction form
150,206,694,180.03/225,344,891,427.35 = 49,473,946,844.01/x - Step 3: Cross multiply
150,206,694,180.03x = 225,344,891,427.35 × 49,473,946,844.01 - Step 4: Simplify right side
150,206,694,180.03x = 11,148,701,180,045,918,470,144 - Step 5: Solve for x
x = 11,148,701,180,045,918,470,144/150,206,694,180.03 - Step 6: Final answer
x = 74,222,398,947.70
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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.