Finding the Fourth Proportional to 31,855,462,113,794, 43,960,069,873,184 and 17,792,863,634,222
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Solution
The fourth proportional to 31,855,462,113,794, 43,960,069,873,184 and 17,792,863,634,222 is: 24,553,890,501,112.44
Step by Step Solution
- Step 1: Write the proportion equation
31,855,462,113,794 : 43,960,069,873,184 = 17,792,863,634,222 : x - Step 2: Convert to fraction form
31,855,462,113,794/43,960,069,873,184 = 17,792,863,634,222/x - Step 3: Cross multiply
31,855,462,113,794x = 43,960,069,873,184 × 17,792,863,634,222 - Step 4: Simplify right side
31,855,462,113,794x = 782,175,528,604,433,778,812,649,472 - Step 5: Solve for x
x = 782,175,528,604,433,778,812,649,472/31,855,462,113,794 - Step 6: Final answer
x = 24,553,890,501,112.44
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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.