Finding the Fourth Proportional to 202,727,559,616.90, 279,764,309,312.12 and 110,028,415,530.14
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Solution
The fourth proportional to 202,727,559,616.90, 279,764,309,312.12 and 110,028,415,530.14 is: 151,839,363,792.80
Step by Step Solution
- Step 1: Write the proportion equation
202,727,559,616.90 : 279,764,309,312.12 = 110,028,415,530.14 : x - Step 2: Convert to fraction form
202,727,559,616.90/279,764,309,312.12 = 110,028,415,530.14/x - Step 3: Cross multiply
202,727,559,616.90x = 279,764,309,312.12 × 110,028,415,530.14 - Step 4: Simplify right side
202,727,559,616.90x = 30,782,023,675,496,554,823,680 - Step 5: Solve for x
x = 30,782,023,675,496,554,823,680/202,727,559,616.90 - Step 6: Final answer
x = 151,839,363,792.80
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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.