Finding the Fourth Proportional to 1,535,693,307.14, 2,120,720,412.12 and 1,452,029,715.09
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Solution
The fourth proportional to 1,535,693,307.14, 2,120,720,412.12 and 1,452,029,715.09 is: 2,005,184,916.46
Step by Step Solution
- Step 1: Write the proportion equation
1,535,693,307.14 : 2,120,720,412.12 = 1,452,029,715.09 : x - Step 2: Convert to fraction form
1,535,693,307.14/2,120,720,412.12 = 1,452,029,715.09/x - Step 3: Cross multiply
1,535,693,307.14x = 2,120,720,412.12 × 1,452,029,715.09 - Step 4: Simplify right side
1,535,693,307.14x = 3,079,349,055,790,849,024 - Step 5: Solve for x
x = 3,079,349,055,790,849,024/1,535,693,307.14 - Step 6: Final answer
x = 2,005,184,916.46
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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.