Finding the Fourth Proportional to 1,492,464,286,141.90, 2,238,920,272,629.80 and 524,202,065,398.11
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Solution
The fourth proportional to 1,492,464,286,141.90, 2,238,920,272,629.80 and 524,202,065,398.11 is: 786,381,719,195.56
Step by Step Solution
- Step 1: Write the proportion equation
1,492,464,286,141.90 : 2,238,920,272,629.80 = 524,202,065,398.11 : x - Step 2: Convert to fraction form
1,492,464,286,141.90/2,238,920,272,629.80 = 524,202,065,398.11/x - Step 3: Cross multiply
1,492,464,286,141.90x = 2,238,920,272,629.80 × 524,202,065,398.11 - Step 4: Simplify right side
1,492,464,286,141.90x = 1,173,646,631,174,240,536,100,864 - Step 5: Solve for x
x = 1,173,646,631,174,240,536,100,864/1,492,464,286,141.90 - Step 6: Final answer
x = 786,381,719,195.56
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.