Finding the Fourth Proportional to 2,683,884,805.68, 3,703,725,720.18 and 1,478,202,903.12
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Solution
The fourth proportional to 2,683,884,805.68, 3,703,725,720.18 and 1,478,202,903.12 is: 2,039,900,557.71
Step by Step Solution
- Step 1: Write the proportion equation
2,683,884,805.68 : 3,703,725,720.18 = 1,478,202,903.12 : x - Step 2: Convert to fraction form
2,683,884,805.68/3,703,725,720.18 = 1,478,202,903.12/x - Step 3: Cross multiply
2,683,884,805.68x = 3,703,725,720.18 × 1,478,202,903.12 - Step 4: Simplify right side
2,683,884,805.68x = 5,474,858,111,930,288,128 - Step 5: Solve for x
x = 5,474,858,111,930,288,128/2,683,884,805.68 - Step 6: Final answer
x = 2,039,900,557.71
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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.