Finding the Fourth Proportional to 222,253,338,559.76, 306,712,396,677.63 and 120,756,918,851.53
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Solution
The fourth proportional to 222,253,338,559.76, 306,712,396,677.63 and 120,756,918,851.53 is: 166,646,063,615.37
Step by Step Solution
- Step 1: Write the proportion equation
222,253,338,559.76 : 306,712,396,677.63 = 120,756,918,851.53 : x - Step 2: Convert to fraction form
222,253,338,559.76/306,712,396,677.63 = 120,756,918,851.53/x - Step 3: Cross multiply
222,253,338,559.76x = 306,712,396,677.63 × 120,756,918,851.53 - Step 4: Simplify right side
222,253,338,559.76x = 37,037,643,996,358,846,185,472 - Step 5: Solve for x
x = 37,037,643,996,358,846,185,472/222,253,338,559.76 - Step 6: Final answer
x = 166,646,063,615.37
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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.