Finding the Fourth Proportional to 7,544,344,698,049.20, 11,316,517,047,074 and 7,544,344,698,049.20
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Solution
The fourth proportional to 7,544,344,698,049.20, 11,316,517,047,074 and 7,544,344,698,049.20 is: 11,316,517,047,074
Step by Step Solution
- Step 1: Write the proportion equation
7,544,344,698,049.20 : 11,316,517,047,074 = 7,544,344,698,049.20 : x - Step 2: Convert to fraction form
7,544,344,698,049.20/11,316,517,047,074 = 7,544,344,698,049.20/x - Step 3: Cross multiply
7,544,344,698,049.20x = 11,316,517,047,074 × 7,544,344,698,049.20 - Step 4: Simplify right side
7,544,344,698,049.20x = 85,375,705,384,476,128,439,173,120 - Step 5: Solve for x
x = 85,375,705,384,476,128,439,173,120/7,544,344,698,049.20 - Step 6: Final answer
x = 11,316,517,047,074
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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.