Finding the Fourth Proportional to 838,093,138,706.70, 1,257,139,706,649.90 and 201,385,536,200.36
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Solution
The fourth proportional to 838,093,138,706.70, 1,257,139,706,649.90 and 201,385,536,200.36 is: 302,078,303,961.70
Step by Step Solution
- Step 1: Write the proportion equation
838,093,138,706.70 : 1,257,139,706,649.90 = 201,385,536,200.36 : x - Step 2: Convert to fraction form
838,093,138,706.70/1,257,139,706,649.90 = 201,385,536,200.36/x - Step 3: Cross multiply
838,093,138,706.70x = 1,257,139,706,649.90 × 201,385,536,200.36 - Step 4: Simplify right side
838,093,138,706.70x = 253,169,753,902,453,343,911,936 - Step 5: Solve for x
x = 253,169,753,902,453,343,911,936/838,093,138,706.70 - Step 6: Final answer
x = 302,078,303,961.70
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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.