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Finding the Fourth Proportional to 4,782,155,496,778.40, 7,173,233,245,167.40 and 4,782,155,496,778.40

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Solution

The fourth proportional to 4,782,155,496,778.40, 7,173,233,245,167.40 and 4,782,155,496,778.40 is: 7,173,233,245,167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782,155,496,778.40 : 7,173,233,245,167.40 = 4,782,155,496,778.40 : x
  2. Step 2: Convert to fraction form
    4,782,155,496,778.40/7,173,233,245,167.40 = 4,782,155,496,778.40/x
  3. Step 3: Cross multiply
    4,782,155,496,778.40x = 7,173,233,245,167.40 × 4,782,155,496,778.40
  4. Step 4: Simplify right side
    4,782,155,496,778.40x = 34,303,516,793,050,845,134,454,784
  5. Step 5: Solve for x
    x = 34,303,516,793,050,845,134,454,784/4,782,155,496,778.40
  6. Step 6: Final answer
    x = 7,173,233,245,167.40

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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.