Finding the Fourth Proportional to 426,100,794.14, 588,425,204.26 and 402,887,117.74
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Solution
The fourth proportional to 426,100,794.14, 588,425,204.26 and 402,887,117.74 is: 556,368,206.33
Step by Step Solution
- Step 1: Write the proportion equation
426,100,794.14 : 588,425,204.26 = 402,887,117.74 : x - Step 2: Convert to fraction form
426,100,794.14/588,425,204.26 = 402,887,117.74/x - Step 3: Cross multiply
426,100,794.14x = 588,425,204.26 × 402,887,117.74 - Step 4: Simplify right side
426,100,794.14x = 237,068,934,549,882,176 - Step 5: Solve for x
x = 237,068,934,549,882,176/426,100,794.14 - Step 6: Final answer
x = 556,368,206.33
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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.