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Finding the Fourth Proportional to 5,677,713,734.40, 8,516,570,601.60 and 5,677,713,734.40

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Solution

The fourth proportional to 5,677,713,734.40, 8,516,570,601.60 and 5,677,713,734.40 is: 8,516,570,601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677,713,734.40 : 8,516,570,601.60 = 5,677,713,734.40 : x
  2. Step 2: Convert to fraction form
    5,677,713,734.40/8,516,570,601.60 = 5,677,713,734.40/x
  3. Step 3: Cross multiply
    5,677,713,734.40x = 8,516,570,601.60 × 5,677,713,734.40
  4. Step 4: Simplify right side
    5,677,713,734.40x = 48,354,649,874,691,588,096
  5. Step 5: Solve for x
    x = 48,354,649,874,691,588,096/5,677,713,734.40
  6. Step 6: Final answer
    x = 8,516,570,601.60

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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.