Finding the Fourth Proportional to 1,546,927,389.41, 2,134,760,027.67 and 842,084,721.68
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Solution
The fourth proportional to 1,546,927,389.41, 2,134,760,027.67 and 842,084,721.68 is: 1,162,077,041.27
Step by Step Solution
- Step 1: Write the proportion equation
1,546,927,389.41 : 2,134,760,027.67 = 842,084,721.68 : x - Step 2: Convert to fraction form
1,546,927,389.41/2,134,760,027.67 = 842,084,721.68/x - Step 3: Cross multiply
1,546,927,389.41x = 2,134,760,027.67 × 842,084,721.68 - Step 4: Simplify right side
1,546,927,389.41x = 1,797,648,803,743,407,104 - Step 5: Solve for x
x = 1,797,648,803,743,407,104/1,546,927,389.41 - Step 6: Final answer
x = 1,162,077,041.27
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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.