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Finding the Fourth Proportional to 893,853,622.40, 1,340,780,433.60 and 893,853,622.40

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Solution

The fourth proportional to 893,853,622.40, 1,340,780,433.60 and 893,853,622.40 is: 1,340,780,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,853,622.40 : 1,340,780,433.60 = 893,853,622.40 : x
  2. Step 2: Convert to fraction form
    893,853,622.40/1,340,780,433.60 = 893,853,622.40/x
  3. Step 3: Cross multiply
    893,853,622.40x = 1,340,780,433.60 × 893,853,622.40
  4. Step 4: Simplify right side
    893,853,622.40x = 1,198,461,447,416,402,432
  5. Step 5: Solve for x
    x = 1,198,461,447,416,402,432/893,853,622.40
  6. Step 6: Final answer
    x = 1,340,780,433.60

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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.