Finding the Fourth Proportional to 24,471,101,311,489, 36,688,555,984,954 and 14,798,954,314,831
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Solution
The fourth proportional to 24,471,101,311,489, 36,688,555,984,954 and 14,798,954,314,831 is: 22,187,487,885,702.21
Step by Step Solution
- Step 1: Write the proportion equation
24,471,101,311,489 : 36,688,555,984,954 = 14,798,954,314,831 : x - Step 2: Convert to fraction form
24,471,101,311,489/36,688,555,984,954 = 14,798,954,314,831/x - Step 3: Cross multiply
24,471,101,311,489x = 36,688,555,984,954 × 14,798,954,314,831 - Step 4: Simplify right side
24,471,101,311,489x = 542,952,263,898,453,695,765,938,176 - Step 5: Solve for x
x = 542,952,263,898,453,695,765,938,176/24,471,101,311,489 - Step 6: Final answer
x = 22,187,487,885,702.21
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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.