Finding the Fourth Proportional to 99,406,599,221.01, 149,110,456,292.96 and 33,157,513,731.09
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Solution
The fourth proportional to 99,406,599,221.01, 149,110,456,292.96 and 33,157,513,731.09 is: 49,736,456,540.38
Step by Step Solution
- Step 1: Write the proportion equation
99,406,599,221.01 : 149,110,456,292.96 = 33,157,513,731.09 : x - Step 2: Convert to fraction form
99,406,599,221.01/149,110,456,292.96 = 33,157,513,731.09/x - Step 3: Cross multiply
99,406,599,221.01x = 149,110,456,292.96 × 33,157,513,731.09 - Step 4: Simplify right side
99,406,599,221.01x = 4,944,132,001,982,916,329,472 - Step 5: Solve for x
x = 4,944,132,001,982,916,329,472/99,406,599,221.01 - Step 6: Final answer
x = 49,736,456,540.38
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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.