Finding the Fourth Proportional to 2,142,231,855.84, 2,956,180,450.68 and 1,189,673,074.08
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Solution
The fourth proportional to 2,142,231,855.84, 2,956,180,450.68 and 1,189,673,074.08 is: 1,641,693,579.86
Step by Step Solution
- Step 1: Write the proportion equation
2,142,231,855.84 : 2,956,180,450.68 = 1,189,673,074.08 : x - Step 2: Convert to fraction form
2,142,231,855.84/2,956,180,450.68 = 1,189,673,074.08/x - Step 3: Cross multiply
2,142,231,855.84x = 2,956,180,450.68 × 1,189,673,074.08 - Step 4: Simplify right side
2,142,231,855.84x = 3,516,888,284,295,674,880 - Step 5: Solve for x
x = 3,516,888,284,295,674,880/2,142,231,855.84 - Step 6: Final answer
x = 1,641,693,579.86
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.