Finding the Fourth Proportional to 416,247,223,399.57, 624,249,708,261.48 and 161,219,726,234.92
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Solution
The fourth proportional to 416,247,223,399.57, 624,249,708,261.48 and 161,219,726,234.92 is: 241,782,674,839.70
Step by Step Solution
- Step 1: Write the proportion equation
416,247,223,399.57 : 624,249,708,261.48 = 161,219,726,234.92 : x - Step 2: Convert to fraction form
416,247,223,399.57/624,249,708,261.48 = 161,219,726,234.92/x - Step 3: Cross multiply
416,247,223,399.57x = 624,249,708,261.48 × 161,219,726,234.92 - Step 4: Simplify right side
416,247,223,399.57x = 100,641,367,068,144,480,288,768 - Step 5: Solve for x
x = 100,641,367,068,144,480,288,768/416,247,223,399.57 - Step 6: Final answer
x = 241,782,674,839.70
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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.