Finding the Fourth Proportional to 296,102,549.84, 408,634,285.73 and 163,943,542.22
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Solution
The fourth proportional to 296,102,549.84, 408,634,285.73 and 163,943,542.22 is: 226,249,156.95
Step by Step Solution
- Step 1: Write the proportion equation
296,102,549.84 : 408,634,285.73 = 163,943,542.22 : x - Step 2: Convert to fraction form
296,102,549.84/408,634,285.73 = 163,943,542.22/x - Step 3: Cross multiply
296,102,549.84x = 408,634,285.73 × 163,943,542.22 - Step 4: Simplify right side
296,102,549.84x = 66,992,952,272,252,912 - Step 5: Solve for x
x = 66,992,952,272,252,912/296,102,549.84 - Step 6: Final answer
x = 226,249,156.95
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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.