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Finding the Fourth Proportional to 4,672,316,580,400.30, 7,008,474,870,600.30 and 4,672,316,580,400.30

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Solution

The fourth proportional to 4,672,316,580,400.30, 7,008,474,870,600.30 and 4,672,316,580,400.30 is: 7,008,474,870,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672,316,580,400.30 : 7,008,474,870,600.30 = 4,672,316,580,400.30 : x
  2. Step 2: Convert to fraction form
    4,672,316,580,400.30/7,008,474,870,600.30 = 4,672,316,580,400.30/x
  3. Step 3: Cross multiply
    4,672,316,580,400.30x = 7,008,474,870,600.30 × 4,672,316,580,400.30
  4. Step 4: Simplify right side
    4,672,316,580,400.30x = 32,745,813,341,224,626,443,780,096
  5. Step 5: Solve for x
    x = 32,745,813,341,224,626,443,780,096/4,672,316,580,400.30
  6. Step 6: Final answer
    x = 7,008,474,870,600.30

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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.