Finding the Fourth Proportional to 358,877,350,626.24, 538,316,937,692.36 and 146,641,483,403.82
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Solution
The fourth proportional to 358,877,350,626.24, 538,316,937,692.36 and 146,641,483,403.82 is: 219,962,597,658.67
Step by Step Solution
- Step 1: Write the proportion equation
358,877,350,626.24 : 538,316,937,692.36 = 146,641,483,403.82 : x - Step 2: Convert to fraction form
358,877,350,626.24/538,316,937,692.36 = 146,641,483,403.82/x - Step 3: Cross multiply
358,877,350,626.24x = 538,316,937,692.36 × 146,641,483,403.82 - Step 4: Simplify right side
358,877,350,626.24x = 78,939,594,284,609,411,481,600 - Step 5: Solve for x
x = 78,939,594,284,609,411,481,600/358,877,350,626.24 - Step 6: Final answer
x = 219,962,597,658.67
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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.