Finding the Fourth Proportional to 10,686,049,463.81, 14,740,621,440.25 and 6,664,738,242.03
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Solution
The fourth proportional to 10,686,049,463.81, 14,740,621,440.25 and 6,664,738,242.03 is: 9,193,517,562.95
Step by Step Solution
- Step 1: Write the proportion equation
10,686,049,463.81 : 14,740,621,440.25 = 6,664,738,242.03 : x - Step 2: Convert to fraction form
10,686,049,463.81/14,740,621,440.25 = 6,664,738,242.03/x - Step 3: Cross multiply
10,686,049,463.81x = 14,740,621,440.25 × 6,664,738,242.03 - Step 4: Simplify right side
10,686,049,463.81x = 98,242,383,424,108,167,168 - Step 5: Solve for x
x = 98,242,383,424,108,167,168/10,686,049,463.81 - Step 6: Final answer
x = 9,193,517,562.95
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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.