Finding the Fourth Proportional to 344,313,386,085.57, 475,324,496,095.77 and 214,144,197,863.07
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Solution
The fourth proportional to 344,313,386,085.57, 475,324,496,095.77 and 214,144,197,863.07 is: 295,625,982,185.31
Step by Step Solution
- Step 1: Write the proportion equation
344,313,386,085.57 : 475,324,496,095.77 = 214,144,197,863.07 : x - Step 2: Convert to fraction form
344,313,386,085.57/475,324,496,095.77 = 214,144,197,863.07/x - Step 3: Cross multiply
344,313,386,085.57x = 475,324,496,095.77 × 214,144,197,863.07 - Step 4: Simplify right side
344,313,386,085.57x = 101,787,982,941,096,624,783,360 - Step 5: Solve for x
x = 101,787,982,941,096,624,783,360/344,313,386,085.57 - Step 6: Final answer
x = 295,625,982,185.31
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1.5x scale
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.