Finding the Fourth Proportional to 601,916,101,337.82, 902,958,966,237.96 and 193,365,481,298.61
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Solution
The fourth proportional to 601,916,101,337.82, 902,958,966,237.96 and 193,365,481,298.61 is: 290,075,468,510.36
Step by Step Solution
- Step 1: Write the proportion equation
601,916,101,337.82 : 902,958,966,237.96 = 193,365,481,298.61 : x - Step 2: Convert to fraction form
601,916,101,337.82/902,958,966,237.96 = 193,365,481,298.61/x - Step 3: Cross multiply
601,916,101,337.82x = 902,958,966,237.96 × 193,365,481,298.61 - Step 4: Simplify right side
601,916,101,337.82x = 174,601,095,099,498,450,911,232 - Step 5: Solve for x
x = 174,601,095,099,498,450,911,232/601,916,101,337.82 - Step 6: Final answer
x = 290,075,468,510.36
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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.