Finding the Fourth Proportional to 2,583,725,322.96, 3,869,918,240.94 and 2,135,993,605.02
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Solution
The fourth proportional to 2,583,725,322.96, 3,869,918,240.94 and 2,135,993,605.02 is: 3,199,303,169.40
Step by Step Solution
- Step 1: Write the proportion equation
2,583,725,322.96 : 3,869,918,240.94 = 2,135,993,605.02 : x - Step 2: Convert to fraction form
2,583,725,322.96/3,869,918,240.94 = 2,135,993,605.02/x - Step 3: Cross multiply
2,583,725,322.96x = 3,869,918,240.94 × 2,135,993,605.02 - Step 4: Simplify right side
2,583,725,322.96x = 8,266,120,614,598,087,680 - Step 5: Solve for x
x = 8,266,120,614,598,087,680/2,583,725,322.96 - Step 6: Final answer
x = 3,199,303,169.40
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.