Finding the Fourth Proportional to 10,546,818,117.97, 14,554,623,415.73 and 5,724,183,176.92
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Solution
The fourth proportional to 10,546,818,117.97, 14,554,623,415.73 and 5,724,183,176.92 is: 7,899,380,606.63
Step by Step Solution
- Step 1: Write the proportion equation
10,546,818,117.97 : 14,554,623,415.73 = 5,724,183,176.92 : x - Step 2: Convert to fraction form
10,546,818,117.97/14,554,623,415.73 = 5,724,183,176.92/x - Step 3: Cross multiply
10,546,818,117.97x = 14,554,623,415.73 × 5,724,183,176.92 - Step 4: Simplify right side
10,546,818,117.97x = 83,313,330,502,708,346,880 - Step 5: Solve for x
x = 83,313,330,502,708,346,880/10,546,818,117.97 - Step 6: Final answer
x = 7,899,380,606.63
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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.