Finding the Fourth Proportional to 30,018,238,490,954, 41,422,895,711,553 and 16,846,685,954,762
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Solution
The fourth proportional to 30,018,238,490,954, 41,422,895,711,553 and 16,846,685,954,762 is: 23,247,150,748,025.56
Step by Step Solution
- Step 1: Write the proportion equation
30,018,238,490,954 : 41,422,895,711,553 = 16,846,685,954,762 : x - Step 2: Convert to fraction form
30,018,238,490,954/41,422,895,711,553 = 16,846,685,954,762/x - Step 3: Cross multiply
30,018,238,490,954x = 41,422,895,711,553 × 16,846,685,954,762 - Step 4: Simplify right side
30,018,238,490,954x = 697,838,515,389,390,961,334,288,384 - Step 5: Solve for x
x = 697,838,515,389,390,961,334,288,384/30,018,238,490,954 - Step 6: Final answer
x = 23,247,150,748,025.56
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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.