Finding the Fourth Proportional to 1,075,715,494.24, 1,484,448,190.80 and 599,381,251.76
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Solution
The fourth proportional to 1,075,715,494.24, 1,484,448,190.80 and 599,381,251.76 is: 827,124,290.33
Step by Step Solution
- Step 1: Write the proportion equation
1,075,715,494.24 : 1,484,448,190.80 = 599,381,251.76 : x - Step 2: Convert to fraction form
1,075,715,494.24/1,484,448,190.80 = 599,381,251.76/x - Step 3: Cross multiply
1,075,715,494.24x = 1,484,448,190.80 × 599,381,251.76 - Step 4: Simplify right side
1,075,715,494.24x = 889,750,414,774,571,264 - Step 5: Solve for x
x = 889,750,414,774,571,264/1,075,715,494.24 - Step 6: Final answer
x = 827,124,290.33
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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.