Finding the Fourth Proportional to 201,816,908,143.20, 302,725,362,214.80 and 201,816,908,143.20
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Solution
The fourth proportional to 201,816,908,143.20, 302,725,362,214.80 and 201,816,908,143.20 is: 302,725,362,214.80
Step by Step Solution
- Step 1: Write the proportion equation
201,816,908,143.20 : 302,725,362,214.80 = 201,816,908,143.20 : x - Step 2: Convert to fraction form
201,816,908,143.20/302,725,362,214.80 = 201,816,908,143.20/x - Step 3: Cross multiply
201,816,908,143.20x = 302,725,362,214.80 × 201,816,908,143.20 - Step 4: Simplify right side
201,816,908,143.20x = 61,095,096,618,721,241,726,976 - Step 5: Solve for x
x = 61,095,096,618,721,241,726,976/201,816,908,143.20 - Step 6: Final answer
x = 302,725,362,214.80
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1.5x scale
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.