Finding the Fourth Proportional to 49,801,998,602,946, 68,728,918,446,870 and 27,579,296,452,737
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Solution
The fourth proportional to 49,801,998,602,946, 68,728,918,446,870 and 27,579,296,452,737 is: 38,060,625,474,779.35
Step by Step Solution
- Step 1: Write the proportion equation
49,801,998,602,946 : 68,728,918,446,870 = 27,579,296,452,737 : x - Step 2: Convert to fraction form
49,801,998,602,946/68,728,918,446,870 = 27,579,296,452,737/x - Step 3: Cross multiply
49,801,998,602,946x = 68,728,918,446,870 × 27,579,296,452,737 - Step 4: Simplify right side
49,801,998,602,946x = 1,895,495,216,722,212,350,924,423,168 - Step 5: Solve for x
x = 1,895,495,216,722,212,350,924,423,168/49,801,998,602,946 - Step 6: Final answer
x = 38,060,625,474,779.35
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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.