Finding the Fourth Proportional to 482,444,465,647.88, 723,497,565,207.20 and 142,392,911,286.08
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Solution
The fourth proportional to 482,444,465,647.88, 723,497,565,207.20 and 142,392,911,286.08 is: 213,539,447,446.86
Step by Step Solution
- Step 1: Write the proportion equation
482,444,465,647.88 : 723,497,565,207.20 = 142,392,911,286.08 : x - Step 2: Convert to fraction form
482,444,465,647.88/723,497,565,207.20 = 142,392,911,286.08/x - Step 3: Cross multiply
482,444,465,647.88x = 723,497,565,207.20 × 142,392,911,286.08 - Step 4: Simplify right side
482,444,465,647.88x = 103,020,924,618,243,687,055,360 - Step 5: Solve for x
x = 103,020,924,618,243,687,055,360/482,444,465,647.88 - Step 6: Final answer
x = 213,539,447,446.86
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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.