Finding the Fourth Proportional to 454,430,469,621.20, 681,645,704,431.80 and 206,277,283,317.20
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Solution
The fourth proportional to 454,430,469,621.20, 681,645,704,431.80 and 206,277,283,317.20 is: 309,415,924,975.80
Step by Step Solution
- Step 1: Write the proportion equation
454,430,469,621.20 : 681,645,704,431.80 = 206,277,283,317.20 : x - Step 2: Convert to fraction form
454,430,469,621.20/681,645,704,431.80 = 206,277,283,317.20/x - Step 3: Cross multiply
454,430,469,621.20x = 681,645,704,431.80 × 206,277,283,317.20 - Step 4: Simplify right side
454,430,469,621.20x = 140,608,024,095,030,805,266,432 - Step 5: Solve for x
x = 140,608,024,095,030,805,266,432/454,430,469,621.20 - Step 6: Final answer
x = 309,415,924,975.80
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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.