Finding the Fourth Proportional to 477,724,306,909.44, 659,259,518,323.20 and 257,992,977,877.48
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Solution
The fourth proportional to 477,724,306,909.44, 659,259,518,323.20 and 257,992,977,877.48 is: 356,030,295,855.38
Step by Step Solution
- Step 1: Write the proportion equation
477,724,306,909.44 : 659,259,518,323.20 = 257,992,977,877.48 : x - Step 2: Convert to fraction form
477,724,306,909.44/659,259,518,323.20 = 257,992,977,877.48/x - Step 3: Cross multiply
477,724,306,909.44x = 659,259,518,323.20 × 257,992,977,877.48 - Step 4: Simplify right side
477,724,306,909.44x = 170,084,326,326,275,447,717,888 - Step 5: Solve for x
x = 170,084,326,326,275,447,717,888/477,724,306,909.44 - Step 6: Final answer
x = 356,030,295,855.38
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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.