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Finding the Fourth Proportional to 533,559,969.90, 800,339,954.85 and 442,860,705.90

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Solution

The fourth proportional to 533,559,969.90, 800,339,954.85 and 442,860,705.90 is: 664,291,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,559,969.90 : 800,339,954.85 = 442,860,705.90 : x
  2. Step 2: Convert to fraction form
    533,559,969.90/800,339,954.85 = 442,860,705.90/x
  3. Step 3: Cross multiply
    533,559,969.90x = 800,339,954.85 × 442,860,705.90
  4. Step 4: Simplify right side
    533,559,969.90x = 354,439,117,364,845,120
  5. Step 5: Solve for x
    x = 354,439,117,364,845,120/533,559,969.90
  6. Step 6: Final answer
    x = 664,291,058.85

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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.