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Finding the Fourth Proportional to 461,430,300.60, 692,145,450.90 and 219,565,596.60

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Solution

The fourth proportional to 461,430,300.60, 692,145,450.90 and 219,565,596.60 is: 329,348,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,430,300.60 : 692,145,450.90 = 219,565,596.60 : x
  2. Step 2: Convert to fraction form
    461,430,300.60/692,145,450.90 = 219,565,596.60/x
  3. Step 3: Cross multiply
    461,430,300.60x = 692,145,450.90 × 219,565,596.60
  4. Step 4: Simplify right side
    461,430,300.60x = 151,971,328,860,834,496
  5. Step 5: Solve for x
    x = 151,971,328,860,834,496/461,430,300.60
  6. Step 6: Final answer
    x = 329,348,394.90

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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.