Finding the Fourth Proportional to 416,247,223,408.92, 624,249,708,275.58 and 161,219,726,244.35
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Solution
The fourth proportional to 416,247,223,408.92, 624,249,708,275.58 and 161,219,726,244.35 is: 241,782,674,853.87
Step by Step Solution
- Step 1: Write the proportion equation
416,247,223,408.92 : 624,249,708,275.58 = 161,219,726,244.35 : x - Step 2: Convert to fraction form
416,247,223,408.92/624,249,708,275.58 = 161,219,726,244.35/x - Step 3: Cross multiply
416,247,223,408.92x = 624,249,708,275.58 × 161,219,726,244.35 - Step 4: Simplify right side
416,247,223,408.92x = 100,641,367,076,304,347,725,824 - Step 5: Solve for x
x = 100,641,367,076,304,347,725,824/416,247,223,408.92 - Step 6: Final answer
x = 241,782,674,853.87
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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.