Finding the Fourth Proportional to 496,664,681,651.95, 685,524,785,564.55 and 323,481,378,302.09
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Solution
The fourth proportional to 496,664,681,651.95, 685,524,785,564.55 and 323,481,378,302.09 is: 446,487,359,957.01
Step by Step Solution
- Step 1: Write the proportion equation
496,664,681,651.95 : 685,524,785,564.55 = 323,481,378,302.09 : x - Step 2: Convert to fraction form
496,664,681,651.95/685,524,785,564.55 = 323,481,378,302.09/x - Step 3: Cross multiply
496,664,681,651.95x = 685,524,785,564.55 × 323,481,378,302.09 - Step 4: Simplify right side
496,664,681,651.95x = 221,754,502,494,665,343,762,432 - Step 5: Solve for x
x = 221,754,502,494,665,343,762,432/496,664,681,651.95 - Step 6: Final answer
x = 446,487,359,957.01
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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.