Finding the Fourth Proportional to 327,519,313,346.58, 491,303,671,520.57 and 97,768,508,651.18
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Solution
The fourth proportional to 327,519,313,346.58, 491,303,671,520.57 and 97,768,508,651.18 is: 146,660,136,675.93
Step by Step Solution
- Step 1: Write the proportion equation
327,519,313,346.58 : 491,303,671,520.57 = 97,768,508,651.18 : x - Step 2: Convert to fraction form
327,519,313,346.58/491,303,671,520.57 = 97,768,508,651.18/x - Step 3: Cross multiply
327,519,313,346.58x = 491,303,671,520.57 × 97,768,508,651.18 - Step 4: Simplify right side
327,519,313,346.58x = 48,034,027,259,415,341,563,904 - Step 5: Solve for x
x = 48,034,027,259,415,341,563,904/327,519,313,346.58 - Step 6: Final answer
x = 146,660,136,675.93
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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.