Finding the Fourth Proportional to 405,278,320,202.12, 559,051,716,565.14 and 252,766,368,679.88
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Solution
The fourth proportional to 405,278,320,202.12, 559,051,716,565.14 and 252,766,368,679.88 is: 348,672,665,811.36
Step by Step Solution
- Step 1: Write the proportion equation
405,278,320,202.12 : 559,051,716,565.14 = 252,766,368,679.88 : x - Step 2: Convert to fraction form
405,278,320,202.12/559,051,716,565.14 = 252,766,368,679.88/x - Step 3: Cross multiply
405,278,320,202.12x = 559,051,716,565.14 × 252,766,368,679.88 - Step 4: Simplify right side
405,278,320,202.12x = 141,309,472,300,423,956,135,936 - Step 5: Solve for x
x = 141,309,472,300,423,956,135,936/405,278,320,202.12 - Step 6: Final answer
x = 348,672,665,811.36
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.