Finding the Fourth Proportional to 206,792,185,240.36, 310,282,527,019.26 and 106,133,739,459.94
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Solution
The fourth proportional to 206,792,185,240.36, 310,282,527,019.26 and 106,133,739,459.94 is: 159,248,981,499.75
Step by Step Solution
- Step 1: Write the proportion equation
206,792,185,240.36 : 310,282,527,019.26 = 106,133,739,459.94 : x - Step 2: Convert to fraction form
206,792,185,240.36/310,282,527,019.26 = 106,133,739,459.94/x - Step 3: Cross multiply
206,792,185,240.36x = 310,282,527,019.26 × 106,133,739,459.94 - Step 4: Simplify right side
206,792,185,240.36x = 32,931,444,881,633,935,622,144 - Step 5: Solve for x
x = 32,931,444,881,633,935,622,144/206,792,185,240.36 - Step 6: Final answer
x = 159,248,981,499.75
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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.