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Finding the Fourth Proportional to 431,705,658.38, 595,755,603.50 and 233,467,153.16

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Solution

The fourth proportional to 431,705,658.38, 595,755,603.50 and 233,467,153.16 is: 322,185,642.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,705,658.38 : 595,755,603.50 = 233,467,153.16 : x
  2. Step 2: Convert to fraction form
    431,705,658.38/595,755,603.50 = 233,467,153.16/x
  3. Step 3: Cross multiply
    431,705,658.38x = 595,755,603.50 × 233,467,153.16
  4. Step 4: Simplify right side
    431,705,658.38x = 139,089,364,724,116,624
  5. Step 5: Solve for x
    x = 139,089,364,724,116,624/431,705,658.38
  6. Step 6: Final answer
    x = 322,185,642.06

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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.