Finding the Fourth Proportional to 838,093,138,707.70, 1,257,139,706,651.40 and 201,385,536,201.36
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Solution
The fourth proportional to 838,093,138,707.70, 1,257,139,706,651.40 and 201,385,536,201.36 is: 302,078,303,963.20
Step by Step Solution
- Step 1: Write the proportion equation
838,093,138,707.70 : 1,257,139,706,651.40 = 201,385,536,201.36 : x - Step 2: Convert to fraction form
838,093,138,707.70/1,257,139,706,651.40 = 201,385,536,201.36/x - Step 3: Cross multiply
838,093,138,707.70x = 1,257,139,706,651.40 × 201,385,536,201.36 - Step 4: Simplify right side
838,093,138,707.70x = 253,169,753,904,012,551,258,112 - Step 5: Solve for x
x = 253,169,753,904,012,551,258,112/838,093,138,707.70 - Step 6: Final answer
x = 302,078,303,963.20
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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.