Finding the Fourth Proportional to 31,855,462,113,776, 43,960,069,873,160 and 17,792,863,634,207
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Solution
The fourth proportional to 31,855,462,113,776, 43,960,069,873,160 and 17,792,863,634,207 is: 24,553,890,501,092.21
Step by Step Solution
- Step 1: Write the proportion equation
31,855,462,113,776 : 43,960,069,873,160 = 17,792,863,634,207 : x - Step 2: Convert to fraction form
31,855,462,113,776/43,960,069,873,160 = 17,792,863,634,207/x - Step 3: Cross multiply
31,855,462,113,776x = 43,960,069,873,160 × 17,792,863,634,207 - Step 4: Simplify right side
31,855,462,113,776x = 782,175,528,603,347,323,885,453,312 - Step 5: Solve for x
x = 782,175,528,603,347,323,885,453,312/31,855,462,113,776 - Step 6: Final answer
x = 24,553,890,501,092.21
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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.