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Finding the Fourth Proportional to 301,807,401.60, 452,711,102.40 and 214,131,446.40

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Solution

The fourth proportional to 301,807,401.60, 452,711,102.40 and 214,131,446.40 is: 321,197,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,807,401.60 : 452,711,102.40 = 214,131,446.40 : x
  2. Step 2: Convert to fraction form
    301,807,401.60/452,711,102.40 = 214,131,446.40/x
  3. Step 3: Cross multiply
    301,807,401.60x = 452,711,102.40 × 214,131,446.40
  4. Step 4: Simplify right side
    301,807,401.60x = 96,939,683,158,250,512
  5. Step 5: Solve for x
    x = 96,939,683,158,250,512/301,807,401.60
  6. Step 6: Final answer
    x = 321,197,169.60

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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.