Finding the Fourth Proportional to 4,114,497,868.34, 5,678,478,090.63 and 2,306,498,060.25
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Solution
The fourth proportional to 4,114,497,868.34, 5,678,478,090.63 and 2,306,498,060.25 is: 3,183,231,373.63
Step by Step Solution
- Step 1: Write the proportion equation
4,114,497,868.34 : 5,678,478,090.63 = 2,306,498,060.25 : x - Step 2: Convert to fraction form
4,114,497,868.34/5,678,478,090.63 = 2,306,498,060.25/x - Step 3: Cross multiply
4,114,497,868.34x = 5,678,478,090.63 × 2,306,498,060.25 - Step 4: Simplify right side
4,114,497,868.34x = 13,097,398,701,210,218,496 - Step 5: Solve for x
x = 13,097,398,701,210,218,496/4,114,497,868.34 - Step 6: Final answer
x = 3,183,231,373.63
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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.