Finding the Fourth Proportional to 471,819,770,766.67, 707,652,172,051.60 and 203,136,415,447.15
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Solution
The fourth proportional to 471,819,770,766.67, 707,652,172,051.60 and 203,136,415,447.15 is: 304,671,263,309.65
Step by Step Solution
- Step 1: Write the proportion equation
471,819,770,766.67 : 707,652,172,051.60 = 203,136,415,447.15 : x - Step 2: Convert to fraction form
471,819,770,766.67/707,652,172,051.60 = 203,136,415,447.15/x - Step 3: Cross multiply
471,819,770,766.67x = 707,652,172,051.60 × 203,136,415,447.15 - Step 4: Simplify right side
471,819,770,766.67x = 143,749,925,613,951,881,576,448 - Step 5: Solve for x
x = 143,749,925,613,951,881,576,448/471,819,770,766.67 - Step 6: Final answer
x = 304,671,263,309.65
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.