Finding the Fourth Proportional to 6,842,106,431.76, 9,442,106,956.44 and 3,712,981,823.76
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Solution
The fourth proportional to 6,842,106,431.76, 9,442,106,956.44 and 3,712,981,823.76 is: 5,123,914,960.53
Step by Step Solution
- Step 1: Write the proportion equation
6,842,106,431.76 : 9,442,106,956.44 = 3,712,981,823.76 : x - Step 2: Convert to fraction form
6,842,106,431.76/9,442,106,956.44 = 3,712,981,823.76/x - Step 3: Cross multiply
6,842,106,431.76x = 9,442,106,956.44 × 3,712,981,823.76 - Step 4: Simplify right side
6,842,106,431.76x = 35,058,371,507,259,576,320 - Step 5: Solve for x
x = 35,058,371,507,259,576,320/6,842,106,431.76 - Step 6: Final answer
x = 5,123,914,960.53
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1.5x scale
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.