Finding the Fourth Proportional to 416,247,223,392.75, 624,249,708,251.30 and 161,219,726,228.09
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Solution
The fourth proportional to 416,247,223,392.75, 624,249,708,251.30 and 161,219,726,228.09 is: 241,782,674,829.47
Step by Step Solution
- Step 1: Write the proportion equation
416,247,223,392.75 : 624,249,708,251.30 = 161,219,726,228.09 : x - Step 2: Convert to fraction form
416,247,223,392.75/624,249,708,251.30 = 161,219,726,228.09/x - Step 3: Cross multiply
416,247,223,392.75x = 624,249,708,251.30 × 161,219,726,228.09 - Step 4: Simplify right side
416,247,223,392.75x = 100,641,367,062,239,638,454,272 - Step 5: Solve for x
x = 100,641,367,062,239,638,454,272/416,247,223,392.75 - Step 6: Final answer
x = 241,782,674,829.47
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.