Finding the Fourth Proportional to 49,725,748,138.40, 74,589,214,106.92 and 13,868,323,544.62
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Solution
The fourth proportional to 49,725,748,138.40, 74,589,214,106.92 and 13,868,323,544.62 is: 20,802,650,395.42
Step by Step Solution
- Step 1: Write the proportion equation
49,725,748,138.40 : 74,589,214,106.92 = 13,868,323,544.62 : x - Step 2: Convert to fraction form
49,725,748,138.40/74,589,214,106.92 = 13,868,323,544.62/x - Step 3: Cross multiply
49,725,748,138.40x = 74,589,214,106.92 × 13,868,323,544.62 - Step 4: Simplify right side
49,725,748,138.40x = 1,034,427,354,173,700,964,352 - Step 5: Solve for x
x = 1,034,427,354,173,700,964,352/49,725,748,138.40 - Step 6: Final answer
x = 20,802,650,395.42
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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.