Finding the Fourth Proportional to 294,068,283,241.36, 441,230,727,602.76 and 102,977,472,902.80
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Solution
The fourth proportional to 294,068,283,241.36, 441,230,727,602.76 and 102,977,472,902.80 is: 154,511,138,687.82
Step by Step Solution
- Step 1: Write the proportion equation
294,068,283,241.36 : 441,230,727,602.76 = 102,977,472,902.80 : x - Step 2: Convert to fraction form
294,068,283,241.36/441,230,727,602.76 = 102,977,472,902.80/x - Step 3: Cross multiply
294,068,283,241.36x = 441,230,727,602.76 × 102,977,472,902.80 - Step 4: Simplify right side
294,068,283,241.36x = 45,436,825,295,595,946,115,072 - Step 5: Solve for x
x = 45,436,825,295,595,946,115,072/294,068,283,241.36 - Step 6: Final answer
x = 154,511,138,687.82
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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.