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Finding the Fourth Proportional to 590,125,610.70, 827,385,178.50 and 590,125,610.70

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Solution

The fourth proportional to 590,125,610.70, 827,385,178.50 and 590,125,610.70 is: 827,385,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,125,610.70 : 827,385,178.50 = 590,125,610.70 : x
  2. Step 2: Convert to fraction form
    590,125,610.70/827,385,178.50 = 590,125,610.70/x
  3. Step 3: Cross multiply
    590,125,610.70x = 827,385,178.50 × 590,125,610.70
  4. Step 4: Simplify right side
    590,125,610.70x = 488,261,183,746,441,024
  5. Step 5: Solve for x
    x = 488,261,183,746,441,024/590,125,610.70
  6. Step 6: Final answer
    x = 827,385,178.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.