Finding the Fourth Proportional to 534,305,350,658.79, 737,341,859,029.74 and 290,434,819,518.78
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Solution
The fourth proportional to 534,305,350,658.79, 737,341,859,029.74 and 290,434,819,518.78 is: 400,800,309,199.41
Step by Step Solution
- Step 1: Write the proportion equation
534,305,350,658.79 : 737,341,859,029.74 = 290,434,819,518.78 : x - Step 2: Convert to fraction form
534,305,350,658.79/737,341,859,029.74 = 290,434,819,518.78/x - Step 3: Cross multiply
534,305,350,658.79x = 737,341,859,029.74 × 290,434,819,518.78 - Step 4: Simplify right side
534,305,350,658.79x = 214,149,749,750,944,266,977,280 - Step 5: Solve for x
x = 214,149,749,750,944,266,977,280/534,305,350,658.79 - Step 6: Final answer
x = 400,800,309,199.41
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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.