Finding the Fourth Proportional to 1,544,584,389.40, 2,316,876,584.10 and 1,417,605,419.80
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Solution
The fourth proportional to 1,544,584,389.40, 2,316,876,584.10 and 1,417,605,419.80 is: 2,126,408,129.70
Step by Step Solution
- Step 1: Write the proportion equation
1,544,584,389.40 : 2,316,876,584.10 = 1,417,605,419.80 : x - Step 2: Convert to fraction form
1,544,584,389.40/2,316,876,584.10 = 1,417,605,419.80/x - Step 3: Cross multiply
1,544,584,389.40x = 2,316,876,584.10 × 1,417,605,419.80 - Step 4: Simplify right side
1,544,584,389.40x = 3,284,416,802,627,870,208 - Step 5: Solve for x
x = 3,284,416,802,627,870,208/1,544,584,389.40 - Step 6: Final answer
x = 2,126,408,129.70
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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.