Finding the Fourth Proportional to 870,825,682,211.76, 1,306,242,654,799.90 and 266,449,923,681.30
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Solution
The fourth proportional to 870,825,682,211.76, 1,306,242,654,799.90 and 266,449,923,681.30 is: 399,676,149,647.66
Step by Step Solution
- Step 1: Write the proportion equation
870,825,682,211.76 : 1,306,242,654,799.90 = 266,449,923,681.30 : x - Step 2: Convert to fraction form
870,825,682,211.76/1,306,242,654,799.90 = 266,449,923,681.30/x - Step 3: Cross multiply
870,825,682,211.76x = 1,306,242,654,799.90 × 266,449,923,681.30 - Step 4: Simplify right side
870,825,682,211.76x = 348,048,255,680,692,019,527,680 - Step 5: Solve for x
x = 348,048,255,680,692,019,527,680/870,825,682,211.76 - Step 6: Final answer
x = 399,676,149,647.66
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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.