Finding the Fourth Proportional to 12,038,733,216,613, 18,058,099,824,919 and 12,038,733,216,613
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Solution
The fourth proportional to 12,038,733,216,613, 18,058,099,824,919 and 12,038,733,216,613 is: 18,058,099,824,919
Step by Step Solution
- Step 1: Write the proportion equation
12,038,733,216,613 : 18,058,099,824,919 = 12,038,733,216,613 : x - Step 2: Convert to fraction form
12,038,733,216,613/18,058,099,824,919 = 12,038,733,216,613/x - Step 3: Cross multiply
12,038,733,216,613x = 18,058,099,824,919 × 12,038,733,216,613 - Step 4: Simplify right side
12,038,733,216,613x = 217,396,646,191,165,754,885,275,648 - Step 5: Solve for x
x = 217,396,646,191,165,754,885,275,648/12,038,733,216,613 - Step 6: Final answer
x = 18,058,099,824,919
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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.