Finding the Fourth Proportional to 4,658,121,220,177.60, 6,987,932,638,892.40 and 1,434,787,483,442
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Solution
The fourth proportional to 4,658,121,220,177.60, 6,987,932,638,892.40 and 1,434,787,483,442 is: 2,152,412,488,105.32
Step by Step Solution
- Step 1: Write the proportion equation
4,658,121,220,177.60 : 6,987,932,638,892.40 = 1,434,787,483,442 : x - Step 2: Convert to fraction form
4,658,121,220,177.60/6,987,932,638,892.40 = 1,434,787,483,442/x - Step 3: Cross multiply
4,658,121,220,177.60x = 6,987,932,638,892.40 × 1,434,787,483,442 - Step 4: Simplify right side
4,658,121,220,177.60x = 10,026,198,285,418,642,028,888,064 - Step 5: Solve for x
x = 10,026,198,285,418,642,028,888,064/4,658,121,220,177.60 - Step 6: Final answer
x = 2,152,412,488,105.32
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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.