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Finding the Fourth Proportional to 552,765,146,521.80, 829,147,719,782.70 and 552,765,146,521.80

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Solution

The fourth proportional to 552,765,146,521.80, 829,147,719,782.70 and 552,765,146,521.80 is: 829,147,719,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,765,146,521.80 : 829,147,719,782.70 = 552,765,146,521.80 : x
  2. Step 2: Convert to fraction form
    552,765,146,521.80/829,147,719,782.70 = 552,765,146,521.80/x
  3. Step 3: Cross multiply
    552,765,146,521.80x = 829,147,719,782.70 × 552,765,146,521.80
  4. Step 4: Simplify right side
    552,765,146,521.80x = 458,323,960,813,900,567,412,736
  5. Step 5: Solve for x
    x = 458,323,960,813,900,567,412,736/552,765,146,521.80
  6. Step 6: Final answer
    x = 829,147,719,782.70

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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.