Finding the Fourth Proportional to 151,006,633,783.15, 226,484,696,596.56 and 55,372,890,496.99
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Solution
The fourth proportional to 151,006,633,783.15, 226,484,696,596.56 and 55,372,890,496.99 is: 83,050,075,282.75
Step by Step Solution
- Step 1: Write the proportion equation
151,006,633,783.15 : 226,484,696,596.56 = 55,372,890,496.99 : x - Step 2: Convert to fraction form
151,006,633,783.15/226,484,696,596.56 = 55,372,890,496.99/x - Step 3: Cross multiply
151,006,633,783.15x = 226,484,696,596.56 × 55,372,890,496.99 - Step 4: Simplify right side
151,006,633,783.15x = 12,541,112,303,885,320,454,144 - Step 5: Solve for x
x = 12,541,112,303,885,320,454,144/151,006,633,783.15 - Step 6: Final answer
x = 83,050,075,282.75
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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.