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Finding the Fourth Proportional to 436,018,334,682.30, 654,027,502,023.45 and 436,018,334,682.30

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Solution

The fourth proportional to 436,018,334,682.30, 654,027,502,023.45 and 436,018,334,682.30 is: 654,027,502,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,018,334,682.30 : 654,027,502,023.45 = 436,018,334,682.30 : x
  2. Step 2: Convert to fraction form
    436,018,334,682.30/654,027,502,023.45 = 436,018,334,682.30/x
  3. Step 3: Cross multiply
    436,018,334,682.30x = 654,027,502,023.45 × 436,018,334,682.30
  4. Step 4: Simplify right side
    436,018,334,682.30x = 285,167,982,268,689,231,642,624
  5. Step 5: Solve for x
    x = 285,167,982,268,689,231,642,624/436,018,334,682.30
  6. Step 6: Final answer
    x = 654,027,502,023.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.