Finding the Fourth Proportional to 358,033,221,362.70, 494,087,852,334.84 and 203,708,897,136.14
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Solution
The fourth proportional to 358,033,221,362.70, 494,087,852,334.84 and 203,708,897,136.14 is: 281,119,419,880.68
Step by Step Solution
- Step 1: Write the proportion equation
358,033,221,362.70 : 494,087,852,334.84 = 203,708,897,136.14 : x - Step 2: Convert to fraction form
358,033,221,362.70/494,087,852,334.84 = 203,708,897,136.14/x - Step 3: Cross multiply
358,033,221,362.70x = 494,087,852,334.84 × 203,708,897,136.14 - Step 4: Simplify right side
358,033,221,362.70x = 100,650,091,487,494,257,246,208 - Step 5: Solve for x
x = 100,650,091,487,494,257,246,208/358,033,221,362.70 - Step 6: Final answer
x = 281,119,419,880.68
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1.5x scale
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.