Finding the Fourth Proportional to 756,165,074,486.20, 1,043,510,946,749.70 and 408,935,353,374.80
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Solution
The fourth proportional to 756,165,074,486.20, 1,043,510,946,749.70 and 408,935,353,374.80 is: 564,332,487,915.44
Step by Step Solution
- Step 1: Write the proportion equation
756,165,074,486.20 : 1,043,510,946,749.70 = 408,935,353,374.80 : x - Step 2: Convert to fraction form
756,165,074,486.20/1,043,510,946,749.70 = 408,935,353,374.80/x - Step 3: Cross multiply
756,165,074,486.20x = 1,043,510,946,749.70 × 408,935,353,374.80 - Step 4: Simplify right side
756,165,074,486.20x = 426,728,517,759,560,612,577,280 - Step 5: Solve for x
x = 426,728,517,759,560,612,577,280/756,165,074,486.20 - Step 6: Final answer
x = 564,332,487,915.44
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Double scale
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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.