Finding the Fourth Proportional to 2,264,249,919,320.10, 3,396,851,944,660.20 and 734,306,924,442.02
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Solution
The fourth proportional to 2,264,249,919,320.10, 3,396,851,944,660.20 and 734,306,924,442.02 is: 1,101,615,101,312.37
Step by Step Solution
- Step 1: Write the proportion equation
2,264,249,919,320.10 : 3,396,851,944,660.20 = 734,306,924,442.02 : x - Step 2: Convert to fraction form
2,264,249,919,320.10/3,396,851,944,660.20 = 734,306,924,442.02/x - Step 3: Cross multiply
2,264,249,919,320.10x = 3,396,851,944,660.20 × 734,306,924,442.02 - Step 4: Simplify right side
2,264,249,919,320.10x = 2,494,331,904,268,326,370,541,568 - Step 5: Solve for x
x = 2,494,331,904,268,326,370,541,568/2,264,249,919,320.10 - Step 6: Final answer
x = 1,101,615,101,312.37
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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.