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Finding the Fourth Proportional to 724,284,784.97, 999,456,018.69 and 411,018,997.92

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Solution

The fourth proportional to 724,284,784.97, 999,456,018.69 and 411,018,997.92 is: 567,173,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,284,784.97 : 999,456,018.69 = 411,018,997.92 : x
  2. Step 2: Convert to fraction form
    724,284,784.97/999,456,018.69 = 411,018,997.92/x
  3. Step 3: Cross multiply
    724,284,784.97x = 999,456,018.69 × 411,018,997.92
  4. Step 4: Simplify right side
    724,284,784.97x = 410,795,411,264,869,952
  5. Step 5: Solve for x
    x = 410,795,411,264,869,952/724,284,784.97
  6. Step 6: Final answer
    x = 567,173,879.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.