Finding the Fourth Proportional to 21,104,891,299.98, 31,658,355,027.63 and 6,939,543,418.74
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Solution
The fourth proportional to 21,104,891,299.98, 31,658,355,027.63 and 6,939,543,418.74 is: 10,409,649,884.35
Step by Step Solution
- Step 1: Write the proportion equation
21,104,891,299.98 : 31,658,355,027.63 = 6,939,543,418.74 : x - Step 2: Convert to fraction form
21,104,891,299.98/31,658,355,027.63 = 6,939,543,418.74/x - Step 3: Cross multiply
21,104,891,299.98x = 31,658,355,027.63 × 6,939,543,418.74 - Step 4: Simplify right side
21,104,891,299.98x = 219,694,529,280,124,157,952 - Step 5: Solve for x
x = 219,694,529,280,124,157,952/21,104,891,299.98 - Step 6: Final answer
x = 10,409,649,884.35
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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.