Finding the Fourth Proportional to 2,398,657,281,081.20, 3,597,859,202,686.20 and 786,778,839,777.18
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Solution
The fourth proportional to 2,398,657,281,081.20, 3,597,859,202,686.20 and 786,778,839,777.18 is: 1,180,126,694,837.85
Step by Step Solution
- Step 1: Write the proportion equation
2,398,657,281,081.20 : 3,597,859,202,686.20 = 786,778,839,777.18 : x - Step 2: Convert to fraction form
2,398,657,281,081.20/3,597,859,202,686.20 = 786,778,839,777.18/x - Step 3: Cross multiply
2,398,657,281,081.20x = 3,597,859,202,686.20 × 786,778,839,777.18 - Step 4: Simplify right side
2,398,657,281,081.20x = 2,830,719,489,171,098,917,928,960 - Step 5: Solve for x
x = 2,830,719,489,171,098,917,928,960/2,398,657,281,081.20 - Step 6: Final answer
x = 1,180,126,694,837.85
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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.