Finding the Fourth Proportional to 83,871,812,083.98, 125,825,387,086.07 and 27,207,250,557.47
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Solution
The fourth proportional to 83,871,812,083.98, 125,825,387,086.07 and 27,207,250,557.47 is: 40,816,607,485.63
Step by Step Solution
- Step 1: Write the proportion equation
83,871,812,083.98 : 125,825,387,086.07 = 27,207,250,557.47 : x - Step 2: Convert to fraction form
83,871,812,083.98/125,825,387,086.07 = 27,207,250,557.47/x - Step 3: Cross multiply
83,871,812,083.98x = 125,825,387,086.07 × 27,207,250,557.47 - Step 4: Simplify right side
83,871,812,083.98x = 3,423,362,832,940,727,795,712 - Step 5: Solve for x
x = 3,423,362,832,940,727,795,712/83,871,812,083.98 - Step 6: Final answer
x = 40,816,607,485.63
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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.