Finding the Fourth Proportional to 233,011,662,286.08, 319,220,668,728.12 and 224,299,730,467.46
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Solution
The fourth proportional to 233,011,662,286.08, 319,220,668,728.12 and 224,299,730,467.46 is: 307,285,520,616.78
Step by Step Solution
- Step 1: Write the proportion equation
233,011,662,286.08 : 319,220,668,728.12 = 224,299,730,467.46 : x - Step 2: Convert to fraction form
233,011,662,286.08/319,220,668,728.12 = 224,299,730,467.46/x - Step 3: Cross multiply
233,011,662,286.08x = 319,220,668,728.12 × 224,299,730,467.46 - Step 4: Simplify right side
233,011,662,286.08x = 71,601,109,955,359,646,154,752 - Step 5: Solve for x
x = 71,601,109,955,359,646,154,752/233,011,662,286.08 - Step 6: Final answer
x = 307,285,520,616.78
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.