Finding the Fourth Proportional to 780,364,523,485.73, 1,076,815,702,177.50 and 433,149,436,838.55
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Solution
The fourth proportional to 780,364,523,485.73, 1,076,815,702,177.50 and 433,149,436,838.55 is: 597,697,743,733.50
Step by Step Solution
- Step 1: Write the proportion equation
780,364,523,485.73 : 1,076,815,702,177.50 = 433,149,436,838.55 : x - Step 2: Convert to fraction form
780,364,523,485.73/1,076,815,702,177.50 = 433,149,436,838.55/x - Step 3: Cross multiply
780,364,523,485.73x = 1,076,815,702,177.50 × 433,149,436,838.55 - Step 4: Simplify right side
780,364,523,485.73x = 466,422,114,977,091,864,756,224 - Step 5: Solve for x
x = 466,422,114,977,091,864,756,224/780,364,523,485.73 - Step 6: Final answer
x = 597,697,743,733.50
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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.