Finding the Fourth Proportional to 1,106,734,315,232.10, 1,660,101,472,848.20 and 660,058,579,884.90
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Solution
The fourth proportional to 1,106,734,315,232.10, 1,660,101,472,848.20 and 660,058,579,884.90 is: 990,087,869,827.38
Step by Step Solution
- Step 1: Write the proportion equation
1,106,734,315,232.10 : 1,660,101,472,848.20 = 660,058,579,884.90 : x - Step 2: Convert to fraction form
1,106,734,315,232.10/1,660,101,472,848.20 = 660,058,579,884.90/x - Step 3: Cross multiply
1,106,734,315,232.10x = 1,660,101,472,848.20 × 660,058,579,884.90 - Step 4: Simplify right side
1,106,734,315,232.10x = 1,095,764,220,633,013,765,013,504 - Step 5: Solve for x
x = 1,095,764,220,633,013,765,013,504/1,106,734,315,232.10 - Step 6: Final answer
x = 990,087,869,827.38
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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.