Finding the Fourth Proportional to 202,727,559,501.40, 279,764,309,153.09 and 110,028,415,415.05
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Solution
The fourth proportional to 202,727,559,501.40, 279,764,309,153.09 and 110,028,415,415.05 is: 151,839,363,634.17
Step by Step Solution
- Step 1: Write the proportion equation
202,727,559,501.40 : 279,764,309,153.09 = 110,028,415,415.05 : x - Step 2: Convert to fraction form
202,727,559,501.40/279,764,309,153.09 = 110,028,415,415.05/x - Step 3: Cross multiply
202,727,559,501.40x = 279,764,309,153.09 × 110,028,415,415.05 - Step 4: Simplify right side
202,727,559,501.40x = 30,782,023,625,800,666,841,088 - Step 5: Solve for x
x = 30,782,023,625,800,666,841,088/202,727,559,501.40 - Step 6: Final answer
x = 151,839,363,634.17
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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.