Finding the Fourth Proportional to 730,324,692,914.20, 1,007,429,346,380.70 and 455,493,204,100.99
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Solution
The fourth proportional to 730,324,692,914.20, 1,007,429,346,380.70 and 455,493,204,100.99 is: 628,319,465,767.02
Step by Step Solution
- Step 1: Write the proportion equation
730,324,692,914.20 : 1,007,429,346,380.70 = 455,493,204,100.99 : x - Step 2: Convert to fraction form
730,324,692,914.20/1,007,429,346,380.70 = 455,493,204,100.99/x - Step 3: Cross multiply
730,324,692,914.20x = 1,007,429,346,380.70 × 455,493,204,100.99 - Step 4: Simplify right side
730,324,692,914.20x = 458,877,220,888,311,133,896,704 - Step 5: Solve for x
x = 458,877,220,888,311,133,896,704/730,324,692,914.20 - Step 6: Final answer
x = 628,319,465,767.02
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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.