Finding the Fourth Proportional to 3,929,858,953,786, 5,894,908,521,137.80 and 1,348,245,249,274.10
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Solution
The fourth proportional to 3,929,858,953,786, 5,894,908,521,137.80 and 1,348,245,249,274.10 is: 2,022,409,074,216.93
Step by Step Solution
- Step 1: Write the proportion equation
3,929,858,953,786 : 5,894,908,521,137.80 = 1,348,245,249,274.10 : x - Step 2: Convert to fraction form
3,929,858,953,786/5,894,908,521,137.80 = 1,348,245,249,274.10/x - Step 3: Cross multiply
3,929,858,953,786x = 5,894,908,521,137.80 × 1,348,245,249,274.10 - Step 4: Simplify right side
3,929,858,953,786x = 7,947,782,408,529,449,733,586,944 - Step 5: Solve for x
x = 7,947,782,408,529,449,733,586,944/3,929,858,953,786 - Step 6: Final answer
x = 2,022,409,074,216.93
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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.