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Finding the Fourth Proportional to 893,347,748.10, 1,340,021,622.15 and 686,723,487.30

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Solution

The fourth proportional to 893,347,748.10, 1,340,021,622.15 and 686,723,487.30 is: 1,030,085,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,347,748.10 : 1,340,021,622.15 = 686,723,487.30 : x
  2. Step 2: Convert to fraction form
    893,347,748.10/1,340,021,622.15 = 686,723,487.30/x
  3. Step 3: Cross multiply
    893,347,748.10x = 1,340,021,622.15 × 686,723,487.30
  4. Step 4: Simplify right side
    893,347,748.10x = 920,224,321,420,250,880
  5. Step 5: Solve for x
    x = 920,224,321,420,250,880/893,347,748.10
  6. Step 6: Final answer
    x = 1,030,085,230.95

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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.