Finding the Fourth Proportional to 2,640,198,889,497.70, 3,960,298,334,246.70 and 2,640,198,889,497.70
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Solution
The fourth proportional to 2,640,198,889,497.70, 3,960,298,334,246.70 and 2,640,198,889,497.70 is: 3,960,298,334,246.70
Step by Step Solution
- Step 1: Write the proportion equation
2,640,198,889,497.70 : 3,960,298,334,246.70 = 2,640,198,889,497.70 : x - Step 2: Convert to fraction form
2,640,198,889,497.70/3,960,298,334,246.70 = 2,640,198,889,497.70/x - Step 3: Cross multiply
2,640,198,889,497.70x = 3,960,298,334,246.70 × 2,640,198,889,497.70 - Step 4: Simplify right side
2,640,198,889,497.70x = 10,455,975,264,157,728,732,348,416 - Step 5: Solve for x
x = 10,455,975,264,157,728,732,348,416/2,640,198,889,497.70 - Step 6: Final answer
x = 3,960,298,334,246.70
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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.