Finding the Fourth Proportional to 7,484,279,905,468.80, 11,207,085,398,442 and 5,165,392,032,153.40
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Solution
The fourth proportional to 7,484,279,905,468.80, 11,207,085,398,442 and 5,165,392,032,153.40 is: 7,734,744,070,498.39
Step by Step Solution
- Step 1: Write the proportion equation
7,484,279,905,468.80 : 11,207,085,398,442 = 5,165,392,032,153.40 : x - Step 2: Convert to fraction form
7,484,279,905,468.80/11,207,085,398,442 = 5,165,392,032,153.40/x - Step 3: Cross multiply
7,484,279,905,468.80x = 11,207,085,398,442 × 5,165,392,032,153.40 - Step 4: Simplify right side
7,484,279,905,468.80x = 57,888,989,620,775,019,029,200,896 - Step 5: Solve for x
x = 57,888,989,620,775,019,029,200,896/7,484,279,905,468.80 - Step 6: Final answer
x = 7,734,744,070,498.39
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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.