Finding the Fourth Proportional to 8,298,197,322.68, 11,451,546,570.90 and 4,487,720,190.84
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Solution
The fourth proportional to 8,298,197,322.68, 11,451,546,570.90 and 4,487,720,190.84 is: 6,193,072,394.42
Step by Step Solution
- Step 1: Write the proportion equation
8,298,197,322.68 : 11,451,546,570.90 = 4,487,720,190.84 : x - Step 2: Convert to fraction form
8,298,197,322.68/11,451,546,570.90 = 4,487,720,190.84/x - Step 3: Cross multiply
8,298,197,322.68x = 11,451,546,570.90 × 4,487,720,190.84 - Step 4: Simplify right side
8,298,197,322.68x = 51,391,336,762,572,496,896 - Step 5: Solve for x
x = 51,391,336,762,572,496,896/8,298,197,322.68 - Step 6: Final answer
x = 6,193,072,394.42
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.