Finding the Fourth Proportional to 413,263,898.44, 570,304,147.94 and 227,624,914.12
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Solution
The fourth proportional to 413,263,898.44, 570,304,147.94 and 227,624,914.12 is: 314,122,363.91
Step by Step Solution
- Step 1: Write the proportion equation
413,263,898.44 : 570,304,147.94 = 227,624,914.12 : x - Step 2: Convert to fraction form
413,263,898.44/570,304,147.94 = 227,624,914.12/x - Step 3: Cross multiply
413,263,898.44x = 570,304,147.94 × 227,624,914.12 - Step 4: Simplify right side
413,263,898.44x = 129,815,432,697,122,288 - Step 5: Solve for x
x = 129,815,432,697,122,288/413,263,898.44 - Step 6: Final answer
x = 314,122,363.91
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.