Finding the Fourth Proportional to 834,244,285,931.70, 1,251,366,428,897.50 and 206,106,533,099.70
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Solution
The fourth proportional to 834,244,285,931.70, 1,251,366,428,897.50 and 206,106,533,099.70 is: 309,159,799,649.54
Step by Step Solution
- Step 1: Write the proportion equation
834,244,285,931.70 : 1,251,366,428,897.50 = 206,106,533,099.70 : x - Step 2: Convert to fraction form
834,244,285,931.70/1,251,366,428,897.50 = 206,106,533,099.70/x - Step 3: Cross multiply
834,244,285,931.70x = 1,251,366,428,897.50 × 206,106,533,099.70 - Step 4: Simplify right side
834,244,285,931.70x = 257,914,796,297,416,001,716,224 - Step 5: Solve for x
x = 257,914,796,297,416,001,716,224/834,244,285,931.70 - Step 6: Final answer
x = 309,159,799,649.54
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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.