Finding the Fourth Proportional to 30,893,792,735,900, 42,604,796,595,158 and 22,547,058,501,098
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Solution
The fourth proportional to 30,893,792,735,900, 42,604,796,595,158 and 22,547,058,501,098 is: 31,094,040,458,882.61
Step by Step Solution
- Step 1: Write the proportion equation
30,893,792,735,900 : 42,604,796,595,158 = 22,547,058,501,098 : x - Step 2: Convert to fraction form
30,893,792,735,900/42,604,796,595,158 = 22,547,058,501,098/x - Step 3: Cross multiply
30,893,792,735,900x = 42,604,796,595,158 × 22,547,058,501,098 - Step 4: Simplify right side
30,893,792,735,900x = 960,612,841,258,408,370,086,346,752 - Step 5: Solve for x
x = 960,612,841,258,408,370,086,346,752/30,893,792,735,900 - Step 6: Final answer
x = 31,094,040,458,882.61
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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.