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Finding the Fourth Proportional to 10,180,874,288,045, 15,271,311,432,068 and 10,180,874,288,045

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Solution

The fourth proportional to 10,180,874,288,045, 15,271,311,432,068 and 10,180,874,288,045 is: 15,271,311,432,068

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180,874,288,045 : 15,271,311,432,068 = 10,180,874,288,045 : x
  2. Step 2: Convert to fraction form
    10,180,874,288,045/15,271,311,432,068 = 10,180,874,288,045/x
  3. Step 3: Cross multiply
    10,180,874,288,045x = 15,271,311,432,068 × 10,180,874,288,045
  4. Step 4: Simplify right side
    10,180,874,288,045x = 155,475,301,903,468,771,678,355,456
  5. Step 5: Solve for x
    x = 155,475,301,903,468,771,678,355,456/10,180,874,288,045
  6. Step 6: Final answer
    x = 15,271,311,432,068

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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.