Finding the Fourth Proportional to 2,085,844,037,872.40, 3,129,122,506,682.70 and 859,933,012,729.60
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Solution
The fourth proportional to 2,085,844,037,872.40, 3,129,122,506,682.70 and 859,933,012,729.60 is: 1,290,046,473,041.37
Step by Step Solution
- Step 1: Write the proportion equation
2,085,844,037,872.40 : 3,129,122,506,682.70 = 859,933,012,729.60 : x - Step 2: Convert to fraction form
2,085,844,037,872.40/3,129,122,506,682.70 = 859,933,012,729.60/x - Step 3: Cross multiply
2,085,844,037,872.40x = 3,129,122,506,682.70 × 859,933,012,729.60 - Step 4: Simplify right side
2,085,844,037,872.40x = 2,690,835,744,371,651,953,819,648 - Step 5: Solve for x
x = 2,690,835,744,371,651,953,819,648/2,085,844,037,872.40 - Step 6: Final answer
x = 1,290,046,473,041.37
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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.