Finding the Fourth Proportional to 151,658,029,740.78, 209,187,283,736.99 and 97,533,046,763.40
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Solution
The fourth proportional to 151,658,029,740.78, 209,187,283,736.99 and 97,533,046,763.40 is: 134,530,780,611.50
Step by Step Solution
- Step 1: Write the proportion equation
151,658,029,740.78 : 209,187,283,736.99 = 97,533,046,763.40 : x - Step 2: Convert to fraction form
151,658,029,740.78/209,187,283,736.99 = 97,533,046,763.40/x - Step 3: Cross multiply
151,658,029,740.78x = 209,187,283,736.99 × 97,533,046,763.40 - Step 4: Simplify right side
151,658,029,740.78x = 20,402,673,127,028,466,647,040 - Step 5: Solve for x
x = 20,402,673,127,028,466,647,040/151,658,029,740.78 - Step 6: Final answer
x = 134,530,780,611.50
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1.5x scale
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.