Finding the Fourth Proportional to 416,247,223,409.98, 624,249,708,277.11 and 161,219,726,245.38
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Solution
The fourth proportional to 416,247,223,409.98, 624,249,708,277.11 and 161,219,726,245.38 is: 241,782,674,855.39
Step by Step Solution
- Step 1: Write the proportion equation
416,247,223,409.98 : 624,249,708,277.11 = 161,219,726,245.38 : x - Step 2: Convert to fraction form
416,247,223,409.98/624,249,708,277.11 = 161,219,726,245.38/x - Step 3: Cross multiply
416,247,223,409.98x = 624,249,708,277.11 × 161,219,726,245.38 - Step 4: Simplify right side
416,247,223,409.98x = 100,641,367,077,193,993,158,656 - Step 5: Solve for x
x = 100,641,367,077,193,993,158,656/416,247,223,409.98 - Step 6: Final answer
x = 241,782,674,855.39
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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.