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Finding the Fourth Proportional to 662,902,514.60, 994,353,771.90 and 421,635,007.40

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Solution

The fourth proportional to 662,902,514.60, 994,353,771.90 and 421,635,007.40 is: 632,452,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,902,514.60 : 994,353,771.90 = 421,635,007.40 : x
  2. Step 2: Convert to fraction form
    662,902,514.60/994,353,771.90 = 421,635,007.40/x
  3. Step 3: Cross multiply
    662,902,514.60x = 994,353,771.90 × 421,635,007.40
  4. Step 4: Simplify right side
    662,902,514.60x = 419,254,359,973,274,368
  5. Step 5: Solve for x
    x = 419,254,359,973,274,368/662,902,514.60
  6. Step 6: Final answer
    x = 632,452,511.10

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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.