Finding the Fourth Proportional to 257,458,177,501.80, 386,187,266,252.70 and 257,458,177,501.80
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Solution
The fourth proportional to 257,458,177,501.80, 386,187,266,252.70 and 257,458,177,501.80 is: 386,187,266,252.70
Step by Step Solution
- Step 1: Write the proportion equation
257,458,177,501.80 : 386,187,266,252.70 = 257,458,177,501.80 : x - Step 2: Convert to fraction form
257,458,177,501.80/386,187,266,252.70 = 257,458,177,501.80/x - Step 3: Cross multiply
257,458,177,501.80x = 386,187,266,252.70 × 257,458,177,501.80 - Step 4: Simplify right side
257,458,177,501.80x = 99,427,069,743,822,532,509,696 - Step 5: Solve for x
x = 99,427,069,743,822,532,509,696/257,458,177,501.80 - Step 6: Final answer
x = 386,187,266,252.70
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1.5x scale
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.