Finding the Fourth Proportional to 2,657,203,317.40, 3,985,804,976.10 and 816,716,846.20
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Solution
The fourth proportional to 2,657,203,317.40, 3,985,804,976.10 and 816,716,846.20 is: 1,225,075,269.30
Step by Step Solution
- Step 1: Write the proportion equation
2,657,203,317.40 : 3,985,804,976.10 = 816,716,846.20 : x - Step 2: Convert to fraction form
2,657,203,317.40/3,985,804,976.10 = 816,716,846.20/x - Step 3: Cross multiply
2,657,203,317.40x = 3,985,804,976.10 × 816,716,846.20 - Step 4: Simplify right side
2,657,203,317.40x = 3,255,274,069,648,658,432 - Step 5: Solve for x
x = 3,255,274,069,648,658,432/2,657,203,317.40 - Step 6: Final answer
x = 1,225,075,269.30
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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.