Finding the Fourth Proportional to 146,261,431,289.40, 201,636,742,591.98 and 98,098,081,371.96
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Solution
The fourth proportional to 146,261,431,289.40, 201,636,742,591.98 and 98,098,081,371.96 is: 135,238,506,884.48
Step by Step Solution
- Step 1: Write the proportion equation
146,261,431,289.40 : 201,636,742,591.98 = 98,098,081,371.96 : x - Step 2: Convert to fraction form
146,261,431,289.40/201,636,742,591.98 = 98,098,081,371.96/x - Step 3: Cross multiply
146,261,431,289.40x = 201,636,742,591.98 × 98,098,081,371.96 - Step 4: Simplify right side
146,261,431,289.40x = 19,780,177,582,365,008,199,680 - Step 5: Solve for x
x = 19,780,177,582,365,008,199,680/146,261,431,289.40 - Step 6: Final answer
x = 135,238,506,884.48
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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.