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Finding the Fourth Proportional to 464,830,074,400.80, 697,245,111,601.20 and 464,830,074,400.80

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Solution

The fourth proportional to 464,830,074,400.80, 697,245,111,601.20 and 464,830,074,400.80 is: 697,245,111,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,830,074,400.80 : 697,245,111,601.20 = 464,830,074,400.80 : x
  2. Step 2: Convert to fraction form
    464,830,074,400.80/697,245,111,601.20 = 464,830,074,400.80/x
  3. Step 3: Cross multiply
    464,830,074,400.80x = 697,245,111,601.20 × 464,830,074,400.80
  4. Step 4: Simplify right side
    464,830,074,400.80x = 324,100,497,101,179,850,850,304
  5. Step 5: Solve for x
    x = 324,100,497,101,179,850,850,304/464,830,074,400.80
  6. Step 6: Final answer
    x = 697,245,111,601.20

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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.