Finding the Fourth Proportional to 601,916,101,331.12, 902,958,966,228.14 and 193,365,481,292
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Solution
The fourth proportional to 601,916,101,331.12, 902,958,966,228.14 and 193,365,481,292 is: 290,075,468,500.52
Step by Step Solution
- Step 1: Write the proportion equation
601,916,101,331.12 : 902,958,966,228.14 = 193,365,481,292 : x - Step 2: Convert to fraction form
601,916,101,331.12/902,958,966,228.14 = 193,365,481,292/x - Step 3: Cross multiply
601,916,101,331.12x = 902,958,966,228.14 × 193,365,481,292 - Step 4: Simplify right side
601,916,101,331.12x = 174,601,095,091,631,077,457,920 - Step 5: Solve for x
x = 174,601,095,091,631,077,457,920/601,916,101,331.12 - Step 6: Final answer
x = 290,075,468,500.52
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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.