Finding the Fourth Proportional to 2,102,228,992.94, 3,153,657,043.14 and 774,154,916.88
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Solution
The fourth proportional to 2,102,228,992.94, 3,153,657,043.14 and 774,154,916.88 is: 1,161,347,842.84
Step by Step Solution
- Step 1: Write the proportion equation
2,102,228,992.94 : 3,153,657,043.14 = 774,154,916.88 : x - Step 2: Convert to fraction form
2,102,228,992.94/3,153,657,043.14 = 774,154,916.88/x - Step 3: Cross multiply
2,102,228,992.94x = 3,153,657,043.14 × 774,154,916.88 - Step 4: Simplify right side
2,102,228,992.94x = 2,441,419,106,100,072,960 - Step 5: Solve for x
x = 2,441,419,106,100,072,960/2,102,228,992.94 - Step 6: Final answer
x = 1,161,347,842.84
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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.