Finding the Fourth Proportional to 6,542,877,788,079, 9,814,316,682,793.50 and 2,186,465,771,048.70
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Solution
The fourth proportional to 6,542,877,788,079, 9,814,316,682,793.50 and 2,186,465,771,048.70 is: 3,279,698,656,798.62
Step by Step Solution
- Step 1: Write the proportion equation
6,542,877,788,079 : 9,814,316,682,793.50 = 2,186,465,771,048.70 : x - Step 2: Convert to fraction form
6,542,877,788,079/9,814,316,682,793.50 = 2,186,465,771,048.70/x - Step 3: Cross multiply
6,542,877,788,079x = 9,814,316,682,793.50 × 2,186,465,771,048.70 - Step 4: Simplify right side
6,542,877,788,079x = 21,458,667,493,160,211,087,097,856 - Step 5: Solve for x
x = 21,458,667,493,160,211,087,097,856/6,542,877,788,079 - Step 6: Final answer
x = 3,279,698,656,798.62
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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.