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Finding the Fourth Proportional to 476,446,522.60, 714,669,783.90 and 313,187,847.40

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Solution

The fourth proportional to 476,446,522.60, 714,669,783.90 and 313,187,847.40 is: 469,781,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,446,522.60 : 714,669,783.90 = 313,187,847.40 : x
  2. Step 2: Convert to fraction form
    476,446,522.60/714,669,783.90 = 313,187,847.40/x
  3. Step 3: Cross multiply
    476,446,522.60x = 714,669,783.90 × 313,187,847.40
  4. Step 4: Simplify right side
    476,446,522.60x = 223,825,891,221,464,160
  5. Step 5: Solve for x
    x = 223,825,891,221,464,160/476,446,522.60
  6. Step 6: Final answer
    x = 469,781,771.10

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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.