Finding the Fourth Proportional to 307,514,717,206.12, 461,103,921,185.91 and 244,178,912,993.14
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Solution
The fourth proportional to 307,514,717,206.12, 461,103,921,185.91 and 244,178,912,993.14 is: 366,134,848,032.60
Step by Step Solution
- Step 1: Write the proportion equation
307,514,717,206.12 : 461,103,921,185.91 = 244,178,912,993.14 : x - Step 2: Convert to fraction form
307,514,717,206.12/461,103,921,185.91 = 244,178,912,993.14/x - Step 3: Cross multiply
307,514,717,206.12x = 461,103,921,185.91 × 244,178,912,993.14 - Step 4: Simplify right side
307,514,717,206.12x = 112,591,854,252,050,004,049,920 - Step 5: Solve for x
x = 112,591,854,252,050,004,049,920/307,514,717,206.12 - Step 6: Final answer
x = 366,134,848,032.60
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1.5x scale
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.