Finding the Fourth Proportional to 53,947,661,637,702, 80,782,127,159,382 and 37,232,816,663,163
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Solution
The fourth proportional to 53,947,661,637,702, 80,782,127,159,382 and 37,232,816,663,163 is: 55,753,039,870,102.34
Step by Step Solution
- Step 1: Write the proportion equation
53,947,661,637,702 : 80,782,127,159,382 = 37,232,816,663,163 : x - Step 2: Convert to fraction form
53,947,661,637,702/80,782,127,159,382 = 37,232,816,663,163/x - Step 3: Cross multiply
53,947,661,637,702x = 80,782,127,159,382 × 37,232,816,663,163 - Step 4: Simplify right side
53,947,661,637,702x = 3,007,746,130,185,590,364,973,301,760 - Step 5: Solve for x
x = 3,007,746,130,185,590,364,973,301,760/53,947,661,637,702 - Step 6: Final answer
x = 55,753,039,870,102.34
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.