Finding the Fourth Proportional to 266,920,515,390.20, 368,380,868,596.34 and 149,629,838,387.24
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Solution
The fourth proportional to 266,920,515,390.20, 368,380,868,596.34 and 149,629,838,387.24 is: 206,506,306,764.93
Step by Step Solution
- Step 1: Write the proportion equation
266,920,515,390.20 : 368,380,868,596.34 = 149,629,838,387.24 : x - Step 2: Convert to fraction form
266,920,515,390.20/368,380,868,596.34 = 149,629,838,387.24/x - Step 3: Cross multiply
266,920,515,390.20x = 368,380,868,596.34 × 149,629,838,387.24 - Step 4: Simplify right side
266,920,515,390.20x = 55,120,769,833,021,447,602,176 - Step 5: Solve for x
x = 55,120,769,833,021,447,602,176/266,920,515,390.20 - Step 6: Final answer
x = 206,506,306,764.93
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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.