Finding the Fourth Proportional to 601,916,101,332.12, 902,958,966,229.64 and 193,365,481,293
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Solution
The fourth proportional to 601,916,101,332.12, 902,958,966,229.64 and 193,365,481,293 is: 290,075,468,502.02
Step by Step Solution
- Step 1: Write the proportion equation
601,916,101,332.12 : 902,958,966,229.64 = 193,365,481,293 : x - Step 2: Convert to fraction form
601,916,101,332.12/902,958,966,229.64 = 193,365,481,293/x - Step 3: Cross multiply
601,916,101,332.12x = 902,958,966,229.64 × 193,365,481,293 - Step 4: Simplify right side
601,916,101,332.12x = 174,601,095,092,824,071,733,248 - Step 5: Solve for x
x = 174,601,095,092,824,071,733,248/601,916,101,332.12 - Step 6: Final answer
x = 290,075,468,502.02
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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.