Finding the Fourth Proportional to 783,076,755, 1,080,624,340.26 and 430,652,737.20
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Solution
The fourth proportional to 783,076,755, 1,080,624,340.26 and 430,652,737.20 is: 594,288,908.52
Step by Step Solution
- Step 1: Write the proportion equation
783,076,755 : 1,080,624,340.26 = 430,652,737.20 : x - Step 2: Convert to fraction form
783,076,755/1,080,624,340.26 = 430,652,737.20/x - Step 3: Cross multiply
783,076,755x = 1,080,624,340.26 × 430,652,737.20 - Step 4: Simplify right side
783,076,755x = 465,373,830,017,913,152 - Step 5: Solve for x
x = 465,373,830,017,913,152/783,076,755 - Step 6: Final answer
x = 594,288,908.52
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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.