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Finding the Fourth Proportional to 436,018,334,590.80, 654,027,501,886.20 and 436,018,334,590.80

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Solution

The fourth proportional to 436,018,334,590.80, 654,027,501,886.20 and 436,018,334,590.80 is: 654,027,501,886.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,018,334,590.80 : 654,027,501,886.20 = 436,018,334,590.80 : x
  2. Step 2: Convert to fraction form
    436,018,334,590.80/654,027,501,886.20 = 436,018,334,590.80/x
  3. Step 3: Cross multiply
    436,018,334,590.80x = 654,027,501,886.20 × 436,018,334,590.80
  4. Step 4: Simplify right side
    436,018,334,590.80x = 285,167,982,149,002,216,865,792
  5. Step 5: Solve for x
    x = 285,167,982,149,002,216,865,792/436,018,334,590.80
  6. Step 6: Final answer
    x = 654,027,501,886.20

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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.