Finding the Fourth Proportional to 3,742,863,917,598.60, 5,165,148,288,919.50 and 2,096,749,419,645.40
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Solution
The fourth proportional to 3,742,863,917,598.60, 5,165,148,288,919.50 and 2,096,749,419,645.40 is: 2,893,512,004,604.99
Step by Step Solution
- Step 1: Write the proportion equation
3,742,863,917,598.60 : 5,165,148,288,919.50 = 2,096,749,419,645.40 : x - Step 2: Convert to fraction form
3,742,863,917,598.60/5,165,148,288,919.50 = 2,096,749,419,645.40/x - Step 3: Cross multiply
3,742,863,917,598.60x = 5,165,148,288,919.50 × 2,096,749,419,645.40 - Step 4: Simplify right side
3,742,863,917,598.60x = 10,830,021,677,174,392,568,676,352 - Step 5: Solve for x
x = 10,830,021,677,174,392,568,676,352/3,742,863,917,598.60 - Step 6: Final answer
x = 2,893,512,004,604.99
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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.