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Finding the Fourth Proportional to 436,018,334,472.30, 654,027,501,708.45 and 436,018,334,472.30

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Solution

The fourth proportional to 436,018,334,472.30, 654,027,501,708.45 and 436,018,334,472.30 is: 654,027,501,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,018,334,472.30 : 654,027,501,708.45 = 436,018,334,472.30 : x
  2. Step 2: Convert to fraction form
    436,018,334,472.30/654,027,501,708.45 = 436,018,334,472.30/x
  3. Step 3: Cross multiply
    436,018,334,472.30x = 654,027,501,708.45 × 436,018,334,472.30
  4. Step 4: Simplify right side
    436,018,334,472.30x = 285,167,981,993,997,686,013,952
  5. Step 5: Solve for x
    x = 285,167,981,993,997,686,013,952/436,018,334,472.30
  6. Step 6: Final answer
    x = 654,027,501,708.45

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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.