Finding the Fourth Proportional to 6,046,177,780,657, 9,075,720,621,496.20 and 2,605,772,311,205.80
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Solution
The fourth proportional to 6,046,177,780,657, 9,075,720,621,496.20 and 2,605,772,311,205.80 is: 3,911,439,980,377.90
Step by Step Solution
- Step 1: Write the proportion equation
6,046,177,780,657 : 9,075,720,621,496.20 = 2,605,772,311,205.80 : x - Step 2: Convert to fraction form
6,046,177,780,657/9,075,720,621,496.20 = 2,605,772,311,205.80/x - Step 3: Cross multiply
6,046,177,780,657x = 9,075,720,621,496.20 × 2,605,772,311,205.80 - Step 4: Simplify right side
6,046,177,780,657x = 23,649,261,499,734,290,384,027,648 - Step 5: Solve for x
x = 23,649,261,499,734,290,384,027,648/6,046,177,780,657 - Step 6: Final answer
x = 3,911,439,980,377.90
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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.