Finding the Fourth Proportional to 146,202,938,478.12, 201,756,162,099.30 and 84,401,422,394.88
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Solution
The fourth proportional to 146,202,938,478.12, 201,756,162,099.30 and 84,401,422,394.88 is: 116,471,715,516.59
Step by Step Solution
- Step 1: Write the proportion equation
146,202,938,478.12 : 201,756,162,099.30 = 84,401,422,394.88 : x - Step 2: Convert to fraction form
146,202,938,478.12/201,756,162,099.30 = 84,401,422,394.88/x - Step 3: Cross multiply
146,202,938,478.12x = 201,756,162,099.30 × 84,401,422,394.88 - Step 4: Simplify right side
146,202,938,478.12x = 17,028,507,058,112,898,793,472 - Step 5: Solve for x
x = 17,028,507,058,112,898,793,472/146,202,938,478.12 - Step 6: Final answer
x = 116,471,715,516.59
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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.