Finding the Fourth Proportional to 258,170,384,474.40, 386,736,950,313.36 and 128,555,270,688
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Solution
The fourth proportional to 258,170,384,474.40, 386,736,950,313.36 and 128,555,270,688 is: 192,574,657,367.47
Step by Step Solution
- Step 1: Write the proportion equation
258,170,384,474.40 : 386,736,950,313.36 = 128,555,270,688 : x - Step 2: Convert to fraction form
258,170,384,474.40/386,736,950,313.36 = 128,555,270,688/x - Step 3: Cross multiply
258,170,384,474.40x = 386,736,950,313.36 × 128,555,270,688 - Step 4: Simplify right side
258,170,384,474.40x = 49,717,073,332,585,602,482,176 - Step 5: Solve for x
x = 49,717,073,332,585,602,482,176/258,170,384,474.40 - Step 6: Final answer
x = 192,574,657,367.47
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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.