Finding the Fourth Proportional to 253,724,698,281.47, 380,754,717,062.76 and 119,457,586,174.26
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Solution
The fourth proportional to 253,724,698,281.47, 380,754,717,062.76 and 119,457,586,174.26 is: 179,265,320,770.32
Step by Step Solution
- Step 1: Write the proportion equation
253,724,698,281.47 : 380,754,717,062.76 = 119,457,586,174.26 : x - Step 2: Convert to fraction form
253,724,698,281.47/380,754,717,062.76 = 119,457,586,174.26/x - Step 3: Cross multiply
253,724,698,281.47x = 380,754,717,062.76 × 119,457,586,174.26 - Step 4: Simplify right side
253,724,698,281.47x = 45,484,039,424,780,638,617,600 - Step 5: Solve for x
x = 45,484,039,424,780,638,617,600/253,724,698,281.47 - Step 6: Final answer
x = 179,265,320,770.32
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.