Finding the Fourth Proportional to 43,221,855,213,900, 59,646,160,195,208 and 24,723,823,814,774
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Solution
The fourth proportional to 43,221,855,213,900, 59,646,160,195,208 and 24,723,823,814,774 is: 34,118,876,864,402.99
Step by Step Solution
- Step 1: Write the proportion equation
43,221,855,213,900 : 59,646,160,195,208 = 24,723,823,814,774 : x - Step 2: Convert to fraction form
43,221,855,213,900/59,646,160,195,208 = 24,723,823,814,774/x - Step 3: Cross multiply
43,221,855,213,900x = 59,646,160,195,208 × 24,723,823,814,774 - Step 4: Simplify right side
43,221,855,213,900x = 1,474,681,155,894,108,439,328,063,488 - Step 5: Solve for x
x = 1,474,681,155,894,108,439,328,063,488/43,221,855,213,900 - Step 6: Final answer
x = 34,118,876,864,402.99
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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.