Finding the Fourth Proportional to 75,227,422,115.04, 103,810,709,314.53 and 40,933,263,350.13
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Solution
The fourth proportional to 75,227,422,115.04, 103,810,709,314.53 and 40,933,263,350.13 is: 56,486,198,562.50
Step by Step Solution
- Step 1: Write the proportion equation
75,227,422,115.04 : 103,810,709,314.53 = 40,933,263,350.13 : x - Step 2: Convert to fraction form
75,227,422,115.04/103,810,709,314.53 = 40,933,263,350.13/x - Step 3: Cross multiply
75,227,422,115.04x = 103,810,709,314.53 × 40,933,263,350.13 - Step 4: Simplify right side
75,227,422,115.04x = 4,249,311,102,935,449,468,928 - Step 5: Solve for x
x = 4,249,311,102,935,449,468,928/75,227,422,115.04 - Step 6: Final answer
x = 56,486,198,562.50
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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.