Finding the Fourth Proportional to 1,024,075,515.97, 1,413,224,213.60 and 554,176,836.75
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Solution
The fourth proportional to 1,024,075,515.97, 1,413,224,213.60 and 554,176,836.75 is: 764,764,035.56
Step by Step Solution
- Step 1: Write the proportion equation
1,024,075,515.97 : 1,413,224,213.60 = 554,176,836.75 : x - Step 2: Convert to fraction form
1,024,075,515.97/1,413,224,213.60 = 554,176,836.75/x - Step 3: Cross multiply
1,024,075,515.97x = 1,413,224,213.60 × 554,176,836.75 - Step 4: Simplify right side
1,024,075,515.97x = 783,176,124,312,739,712 - Step 5: Solve for x
x = 783,176,124,312,739,712/1,024,075,515.97 - Step 6: Final answer
x = 764,764,035.56
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Double scale
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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.