Finding the Fourth Proportional to 16,137,417,873.96, 24,213,481,721.64 and 8,282,346,354.36
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Solution
The fourth proportional to 16,137,417,873.96, 24,213,481,721.64 and 8,282,346,354.36 is: 12,427,294,355.88
Step by Step Solution
- Step 1: Write the proportion equation
16,137,417,873.96 : 24,213,481,721.64 = 8,282,346,354.36 : x - Step 2: Convert to fraction form
16,137,417,873.96/24,213,481,721.64 = 8,282,346,354.36/x - Step 3: Cross multiply
16,137,417,873.96x = 24,213,481,721.64 × 8,282,346,354.36 - Step 4: Simplify right side
16,137,417,873.96x = 200,544,442,063,587,540,992 - Step 5: Solve for x
x = 200,544,442,063,587,540,992/16,137,417,873.96 - Step 6: Final answer
x = 12,427,294,355.88
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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.