Finding the Fourth Proportional to 11,680,699,235.05, 16,119,154,824.36 and 6,599,954,084.53
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Solution
The fourth proportional to 11,680,699,235.05, 16,119,154,824.36 and 6,599,954,084.53 is: 9,107,817,912.39
Step by Step Solution
- Step 1: Write the proportion equation
11,680,699,235.05 : 16,119,154,824.36 = 6,599,954,084.53 : x - Step 2: Convert to fraction form
11,680,699,235.05/16,119,154,824.36 = 6,599,954,084.53/x - Step 3: Cross multiply
11,680,699,235.05x = 16,119,154,824.36 × 6,599,954,084.53 - Step 4: Simplify right side
11,680,699,235.05x = 106,385,681,722,206,240,768 - Step 5: Solve for x
x = 106,385,681,722,206,240,768/11,680,699,235.05 - Step 6: Final answer
x = 9,107,817,912.39
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.