Finding the Fourth Proportional to 3,412,070,713.98, 5,118,106,070.97 and 827,141,689.98
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Solution
The fourth proportional to 3,412,070,713.98, 5,118,106,070.97 and 827,141,689.98 is: 1,240,712,534.97
Step by Step Solution
- Step 1: Write the proportion equation
3,412,070,713.98 : 5,118,106,070.97 = 827,141,689.98 : x - Step 2: Convert to fraction form
3,412,070,713.98/5,118,106,070.97 = 827,141,689.98/x - Step 3: Cross multiply
3,412,070,713.98x = 5,118,106,070.97 × 827,141,689.98 - Step 4: Simplify right side
3,412,070,713.98x = 4,233,398,905,039,024,128 - Step 5: Solve for x
x = 4,233,398,905,039,024,128/3,412,070,713.98 - Step 6: Final answer
x = 1,240,712,534.97
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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.