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Finding the Fourth Proportional to 908,150,378.40, 1,362,225,567.60 and 908,150,378.40

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Solution

The fourth proportional to 908,150,378.40, 1,362,225,567.60 and 908,150,378.40 is: 1,362,225,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,150,378.40 : 1,362,225,567.60 = 908,150,378.40 : x
  2. Step 2: Convert to fraction form
    908,150,378.40/1,362,225,567.60 = 908,150,378.40/x
  3. Step 3: Cross multiply
    908,150,378.40x = 1,362,225,567.60 × 908,150,378.40
  4. Step 4: Simplify right side
    908,150,378.40x = 1,237,105,664,682,094,592
  5. Step 5: Solve for x
    x = 1,237,105,664,682,094,592/908,150,378.40
  6. Step 6: Final answer
    x = 1,362,225,567.60

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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.