Finding the Fourth Proportional to 378,674,814,600.84, 522,587,670,793.44 and 209,702,085,768.84
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Solution
The fourth proportional to 378,674,814,600.84, 522,587,670,793.44 and 209,702,085,768.84 is: 289,397,975,088.42
Step by Step Solution
- Step 1: Write the proportion equation
378,674,814,600.84 : 522,587,670,793.44 = 209,702,085,768.84 : x - Step 2: Convert to fraction form
378,674,814,600.84/522,587,670,793.44 = 209,702,085,768.84/x - Step 3: Cross multiply
378,674,814,600.84x = 522,587,670,793.44 × 209,702,085,768.84 - Step 4: Simplify right side
378,674,814,600.84x = 109,587,724,562,464,273,072,128 - Step 5: Solve for x
x = 109,587,724,562,464,273,072,128/378,674,814,600.84 - Step 6: Final answer
x = 289,397,975,088.42
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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.