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Finding the Fourth Proportional to 397,241,856,000.15, 595,862,784,000.23 and 397,241,856,000.15

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Solution

The fourth proportional to 397,241,856,000.15, 595,862,784,000.23 and 397,241,856,000.15 is: 595,862,784,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,241,856,000.15 : 595,862,784,000.23 = 397,241,856,000.15 : x
  2. Step 2: Convert to fraction form
    397,241,856,000.15/595,862,784,000.23 = 397,241,856,000.15/x
  3. Step 3: Cross multiply
    397,241,856,000.15x = 595,862,784,000.23 × 397,241,856,000.15
  4. Step 4: Simplify right side
    397,241,856,000.15x = 236,701,638,237,667,870,113,792
  5. Step 5: Solve for x
    x = 236,701,638,237,667,870,113,792/397,241,856,000.15
  6. Step 6: Final answer
    x = 595,862,784,000.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.