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Finding the Fourth Proportional to 4,227,656,469.60, 6,341,484,704.40 and 4,227,656,469.60

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Solution

The fourth proportional to 4,227,656,469.60, 6,341,484,704.40 and 4,227,656,469.60 is: 6,341,484,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227,656,469.60 : 6,341,484,704.40 = 4,227,656,469.60 : x
  2. Step 2: Convert to fraction form
    4,227,656,469.60/6,341,484,704.40 = 4,227,656,469.60/x
  3. Step 3: Cross multiply
    4,227,656,469.60x = 6,341,484,704.40 × 4,227,656,469.60
  4. Step 4: Simplify right side
    4,227,656,469.60x = 26,809,618,837,426,102,272
  5. Step 5: Solve for x
    x = 26,809,618,837,426,102,272/4,227,656,469.60
  6. Step 6: Final answer
    x = 6,341,484,704.40

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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.