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Finding the Fourth Proportional to 313,941,283,276.20, 470,911,924,914.30 and 313,941,283,276.20

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Solution

The fourth proportional to 313,941,283,276.20, 470,911,924,914.30 and 313,941,283,276.20 is: 470,911,924,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,941,283,276.20 : 470,911,924,914.30 = 313,941,283,276.20 : x
  2. Step 2: Convert to fraction form
    313,941,283,276.20/470,911,924,914.30 = 313,941,283,276.20/x
  3. Step 3: Cross multiply
    313,941,283,276.20x = 470,911,924,914.30 × 313,941,283,276.20
  4. Step 4: Simplify right side
    313,941,283,276.20x = 147,838,694,017,660,883,042,304
  5. Step 5: Solve for x
    x = 147,838,694,017,660,883,042,304/313,941,283,276.20
  6. Step 6: Final answer
    x = 470,911,924,914.30

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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.