Finding the Fourth Proportional to 592,223,680,114.71, 817,268,678,558.25 and 338,764,586,866.68
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Solution
The fourth proportional to 592,223,680,114.71, 817,268,678,558.25 and 338,764,586,866.68 is: 467,495,129,875.99
Step by Step Solution
- Step 1: Write the proportion equation
592,223,680,114.71 : 817,268,678,558.25 = 338,764,586,866.68 : x - Step 2: Convert to fraction form
592,223,680,114.71/817,268,678,558.25 = 338,764,586,866.68/x - Step 3: Cross multiply
592,223,680,114.71x = 817,268,678,558.25 × 338,764,586,866.68 - Step 4: Simplify right side
592,223,680,114.71x = 276,861,686,250,863,037,775,872 - Step 5: Solve for x
x = 276,861,686,250,863,037,775,872/592,223,680,114.71 - Step 6: Final answer
x = 467,495,129,875.99
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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.