Finding the Fourth Proportional to 5,678,420,443.86, 8,517,893,725.44 and 1,748,302,638.96
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Solution
The fourth proportional to 5,678,420,443.86, 8,517,893,725.44 and 1,748,302,638.96 is: 2,622,534,950.66
Step by Step Solution
- Step 1: Write the proportion equation
5,678,420,443.86 : 8,517,893,725.44 = 1,748,302,638.96 : x - Step 2: Convert to fraction form
5,678,420,443.86/8,517,893,725.44 = 1,748,302,638.96/x - Step 3: Cross multiply
5,678,420,443.86x = 8,517,893,725.44 × 1,748,302,638.96 - Step 4: Simplify right side
5,678,420,443.86x = 14,891,856,078,567,577,600 - Step 5: Solve for x
x = 14,891,856,078,567,577,600/5,678,420,443.86 - Step 6: Final answer
x = 2,622,534,950.66
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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.