Finding the Fourth Proportional to 55,352,232,408,432, 82,970,227,840,696 and 18,623,712,469,174
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Solution
The fourth proportional to 55,352,232,408,432, 82,970,227,840,696 and 18,623,712,469,174 is: 27,916,013,493,461.02
Step by Step Solution
- Step 1: Write the proportion equation
55,352,232,408,432 : 82,970,227,840,696 = 18,623,712,469,174 : x - Step 2: Convert to fraction form
55,352,232,408,432/82,970,227,840,696 = 18,623,712,469,174/x - Step 3: Cross multiply
55,352,232,408,432x = 82,970,227,840,696 × 18,623,712,469,174 - Step 4: Simplify right side
55,352,232,408,432x = 1,545,213,666,806,977,881,790,480,384 - Step 5: Solve for x
x = 1,545,213,666,806,977,881,790,480,384/55,352,232,408,432 - Step 6: Final answer
x = 27,916,013,493,461.02
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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.