Finding the Fourth Proportional to 10,208,228,506,416, 14,087,397,782,299 and 5,520,627,271,412
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Solution
The fourth proportional to 10,208,228,506,416, 14,087,397,782,299 and 5,520,627,271,412 is: 7,618,488,588,035.48
Step by Step Solution
- Step 1: Write the proportion equation
10,208,228,506,416 : 14,087,397,782,299 = 5,520,627,271,412 : x - Step 2: Convert to fraction form
10,208,228,506,416/14,087,397,782,299 = 5,520,627,271,412/x - Step 3: Cross multiply
10,208,228,506,416x = 14,087,397,782,299 × 5,520,627,271,412 - Step 4: Simplify right side
10,208,228,506,416x = 77,771,272,380,188,783,781,347,328 - Step 5: Solve for x
x = 77,771,272,380,188,783,781,347,328/10,208,228,506,416 - Step 6: Final answer
x = 7,618,488,588,035.48
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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.