Finding the Fourth Proportional to 320,210,691,096.67, 441,898,884,173.60 and 175,694,782,490.79
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Solution
The fourth proportional to 320,210,691,096.67, 441,898,884,173.60 and 175,694,782,490.79 is: 242,463,260,898.32
Step by Step Solution
- Step 1: Write the proportion equation
320,210,691,096.67 : 441,898,884,173.60 = 175,694,782,490.79 : x - Step 2: Convert to fraction form
320,210,691,096.67/441,898,884,173.60 = 175,694,782,490.79/x - Step 3: Cross multiply
320,210,691,096.67x = 441,898,884,173.60 × 175,694,782,490.79 - Step 4: Simplify right side
320,210,691,096.67x = 77,639,328,337,803,454,971,904 - Step 5: Solve for x
x = 77,639,328,337,803,454,971,904/320,210,691,096.67 - Step 6: Final answer
x = 242,463,260,898.32
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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.