Finding the Fourth Proportional to 1,010,374,849.74, 1,394,302,453.82 and 564,344,722.21
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Solution
The fourth proportional to 1,010,374,849.74, 1,394,302,453.82 and 564,344,722.21 is: 778,787,428.42
Step by Step Solution
- Step 1: Write the proportion equation
1,010,374,849.74 : 1,394,302,453.82 = 564,344,722.21 : x - Step 2: Convert to fraction form
1,010,374,849.74/1,394,302,453.82 = 564,344,722.21/x - Step 3: Cross multiply
1,010,374,849.74x = 1,394,302,453.82 × 564,344,722.21 - Step 4: Simplify right side
1,010,374,849.74x = 786,867,230,971,461,760 - Step 5: Solve for x
x = 786,867,230,971,461,760/1,010,374,849.74 - Step 6: Final answer
x = 778,787,428.42
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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.