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Finding the Fourth Proportional to 233,060,755,067.60, 349,591,132,601.40 and 233,060,755,067.60

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Solution

The fourth proportional to 233,060,755,067.60, 349,591,132,601.40 and 233,060,755,067.60 is: 349,591,132,601.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,060,755,067.60 : 349,591,132,601.40 = 233,060,755,067.60 : x
  2. Step 2: Convert to fraction form
    233,060,755,067.60/349,591,132,601.40 = 233,060,755,067.60/x
  3. Step 3: Cross multiply
    233,060,755,067.60x = 349,591,132,601.40 × 233,060,755,067.60
  4. Step 4: Simplify right side
    233,060,755,067.60x = 81,475,973,329,019,767,619,584
  5. Step 5: Solve for x
    x = 81,475,973,329,019,767,619,584/233,060,755,067.60
  6. Step 6: Final answer
    x = 349,591,132,601.40

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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.