Finding the Fourth Proportional to 100,003,936,428.09, 138,005,534,404.53 and 54,278,221,263.99
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Solution
The fourth proportional to 100,003,936,428.09, 138,005,534,404.53 and 54,278,221,263.99 is: 74,904,000,778.52
Step by Step Solution
- Step 1: Write the proportion equation
100,003,936,428.09 : 138,005,534,404.53 = 54,278,221,263.99 : x - Step 2: Convert to fraction form
100,003,936,428.09/138,005,534,404.53 = 54,278,221,263.99/x - Step 3: Cross multiply
100,003,936,428.09x = 138,005,534,404.53 × 54,278,221,263.99 - Step 4: Simplify right side
100,003,936,428.09x = 7,490,694,932,064,263,733,248 - Step 5: Solve for x
x = 7,490,694,932,064,263,733,248/100,003,936,428.09 - Step 6: Final answer
x = 74,904,000,778.52
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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.