Finding the Fourth Proportional to 2,872,165,041.74, 4,302,214,217.94 and 1,822,362,872.70
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Solution
The fourth proportional to 2,872,165,041.74, 4,302,214,217.94 and 1,822,362,872.70 is: 2,729,716,206.16
Step by Step Solution
- Step 1: Write the proportion equation
2,872,165,041.74 : 4,302,214,217.94 = 1,822,362,872.70 : x - Step 2: Convert to fraction form
2,872,165,041.74/4,302,214,217.94 = 1,822,362,872.70/x - Step 3: Cross multiply
2,872,165,041.74x = 4,302,214,217.94 × 1,822,362,872.70 - Step 4: Simplify right side
2,872,165,041.74x = 7,840,195,461,199,195,136 - Step 5: Solve for x
x = 7,840,195,461,199,195,136/2,872,165,041.74 - Step 6: Final answer
x = 2,729,716,206.16
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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.