Finding the Fourth Proportional to 765,276,659,586.36, 1,056,113,874,211.90 and 440,116,205,272.92
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Solution
The fourth proportional to 765,276,659,586.36, 1,056,113,874,211.90 and 440,116,205,272.92 is: 607,378,815,009.80
Step by Step Solution
- Step 1: Write the proportion equation
765,276,659,586.36 : 1,056,113,874,211.90 = 440,116,205,272.92 : x - Step 2: Convert to fraction form
765,276,659,586.36/1,056,113,874,211.90 = 440,116,205,272.92/x - Step 3: Cross multiply
765,276,659,586.36x = 1,056,113,874,211.90 × 440,116,205,272.92 - Step 4: Simplify right side
765,276,659,586.36x = 464,812,830,654,223,397,945,344 - Step 5: Solve for x
x = 464,812,830,654,223,397,945,344/765,276,659,586.36 - Step 6: Final answer
x = 607,378,815,009.80
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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.