Finding the Fourth Proportional to 11,438,702,432.11, 15,785,006,744.96 and 6,288,712,408.09
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Solution
The fourth proportional to 11,438,702,432.11, 15,785,006,744.96 and 6,288,712,408.09 is: 8,678,201,777.52
Step by Step Solution
- Step 1: Write the proportion equation
11,438,702,432.11 : 15,785,006,744.96 = 6,288,712,408.09 : x - Step 2: Convert to fraction form
11,438,702,432.11/15,785,006,744.96 = 6,288,712,408.09/x - Step 3: Cross multiply
11,438,702,432.11x = 15,785,006,744.96 × 6,288,712,408.09 - Step 4: Simplify right side
11,438,702,432.11x = 99,267,367,778,814,296,064 - Step 5: Solve for x
x = 99,267,367,778,814,296,064/11,438,702,432.11 - Step 6: Final answer
x = 8,678,201,777.52
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1.5x scale
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.