Finding the Fourth Proportional to 219,161,040,740.24, 302,334,761,749.99 and 190,184,560,877.23
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Solution
The fourth proportional to 219,161,040,740.24, 302,334,761,749.99 and 190,184,560,877.23 is: 262,361,429,326.73
Step by Step Solution
- Step 1: Write the proportion equation
219,161,040,740.24 : 302,334,761,749.99 = 190,184,560,877.23 : x - Step 2: Convert to fraction form
219,161,040,740.24/302,334,761,749.99 = 190,184,560,877.23/x - Step 3: Cross multiply
219,161,040,740.24x = 302,334,761,749.99 × 190,184,560,877.23 - Step 4: Simplify right side
219,161,040,740.24x = 57,499,403,901,343,799,181,312 - Step 5: Solve for x
x = 57,499,403,901,343,799,181,312/219,161,040,740.24 - Step 6: Final answer
x = 262,361,429,326.73
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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.