Finding the Fourth Proportional to 1,242,757,848.12, 1,864,440,278.26 and 413,709,888.12
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Solution
The fourth proportional to 1,242,757,848.12, 1,864,440,278.26 and 413,709,888.12 is: 620,665,868.33
Step by Step Solution
- Step 1: Write the proportion equation
1,242,757,848.12 : 1,864,440,278.26 = 413,709,888.12 : x - Step 2: Convert to fraction form
1,242,757,848.12/1,864,440,278.26 = 413,709,888.12/x - Step 3: Cross multiply
1,242,757,848.12x = 1,864,440,278.26 × 413,709,888.12 - Step 4: Simplify right side
1,242,757,848.12x = 771,337,378,925,366,272 - Step 5: Solve for x
x = 771,337,378,925,366,272/1,242,757,848.12 - Step 6: Final answer
x = 620,665,868.33
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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.