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Finding the Fourth Proportional to 525,982,693.80, 788,974,040.70 and 219,494,764.20

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Solution

The fourth proportional to 525,982,693.80, 788,974,040.70 and 219,494,764.20 is: 329,242,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,982,693.80 : 788,974,040.70 = 219,494,764.20 : x
  2. Step 2: Convert to fraction form
    525,982,693.80/788,974,040.70 = 219,494,764.20/x
  3. Step 3: Cross multiply
    525,982,693.80x = 788,974,040.70 × 219,494,764.20
  4. Step 4: Simplify right side
    525,982,693.80x = 173,175,671,023,367,712
  5. Step 5: Solve for x
    x = 173,175,671,023,367,712/525,982,693.80
  6. Step 6: Final answer
    x = 329,242,146.30

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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.