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Finding the Fourth Proportional to 470,067,254.80, 658,774,401.20 and 470,067,254.80

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Solution

The fourth proportional to 470,067,254.80, 658,774,401.20 and 470,067,254.80 is: 658,774,401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,067,254.80 : 658,774,401.20 = 470,067,254.80 : x
  2. Step 2: Convert to fraction form
    470,067,254.80/658,774,401.20 = 470,067,254.80/x
  3. Step 3: Cross multiply
    470,067,254.80x = 658,774,401.20 × 470,067,254.80
  4. Step 4: Simplify right side
    470,067,254.80x = 309,668,274,304,597,888
  5. Step 5: Solve for x
    x = 309,668,274,304,597,888/470,067,254.80
  6. Step 6: Final answer
    x = 658,774,401.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.