Finding the Fourth Proportional to 8,542,075,475.60, 12,808,442,251.64 and 6,782,747,580.80
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Solution
The fourth proportional to 8,542,075,475.60, 12,808,442,251.64 and 6,782,747,580.80 is: 10,170,412,441.83
Step by Step Solution
- Step 1: Write the proportion equation
8,542,075,475.60 : 12,808,442,251.64 = 6,782,747,580.80 : x - Step 2: Convert to fraction form
8,542,075,475.60/12,808,442,251.64 = 6,782,747,580.80/x - Step 3: Cross multiply
8,542,075,475.60x = 12,808,442,251.64 × 6,782,747,580.80 - Step 4: Simplify right side
8,542,075,475.60x = 86,876,430,696,076,476,416 - Step 5: Solve for x
x = 86,876,430,696,076,476,416/8,542,075,475.60 - Step 6: Final answer
x = 10,170,412,441.83
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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.