Finding the Fourth Proportional to 2,106,511,842.24, 2,908,940,389.92 and 1,576,956,470.40
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Solution
The fourth proportional to 2,106,511,842.24, 2,908,940,389.92 and 1,576,956,470.40 is: 2,177,662,749.34
Step by Step Solution
- Step 1: Write the proportion equation
2,106,511,842.24 : 2,908,940,389.92 = 1,576,956,470.40 : x - Step 2: Convert to fraction form
2,106,511,842.24/2,908,940,389.92 = 1,576,956,470.40/x - Step 3: Cross multiply
2,106,511,842.24x = 2,908,940,389.92 × 1,576,956,470.40 - Step 4: Simplify right side
2,106,511,842.24x = 4,587,272,369,892,243,456 - Step 5: Solve for x
x = 4,587,272,369,892,243,456/2,106,511,842.24 - Step 6: Final answer
x = 2,177,662,749.34
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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.