Finding the Fourth Proportional to 6,046,177,780,237.40, 9,075,720,620,866 and 2,605,772,310,787.40
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Solution
The fourth proportional to 6,046,177,780,237.40, 9,075,720,620,866 and 2,605,772,310,787.40 is: 3,911,439,979,749.70
Step by Step Solution
- Step 1: Write the proportion equation
6,046,177,780,237.40 : 9,075,720,620,866 = 2,605,772,310,787.40 : x - Step 2: Convert to fraction form
6,046,177,780,237.40/9,075,720,620,866 = 2,605,772,310,787.40/x - Step 3: Cross multiply
6,046,177,780,237.40x = 9,075,720,620,866 × 2,605,772,310,787.40 - Step 4: Simplify right side
6,046,177,780,237.40x = 23,649,261,494,294,851,742,597,120 - Step 5: Solve for x
x = 23,649,261,494,294,851,742,597,120/6,046,177,780,237.40 - Step 6: Final answer
x = 3,911,439,979,749.70
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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.