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Finding the Fourth Proportional to 144,896,181.15, 217,344,271.73 and 144,896,181.15

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Solution

The fourth proportional to 144,896,181.15, 217,344,271.73 and 144,896,181.15 is: 217,344,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,896,181.15 : 217,344,271.73 = 144,896,181.15 : x
  2. Step 2: Convert to fraction form
    144,896,181.15/217,344,271.73 = 144,896,181.15/x
  3. Step 3: Cross multiply
    144,896,181.15x = 217,344,271.73 × 144,896,181.15
  4. Step 4: Simplify right side
    144,896,181.15x = 31,492,354,967,780,424
  5. Step 5: Solve for x
    x = 31,492,354,967,780,424/144,896,181.15
  6. Step 6: Final answer
    x = 217,344,271.73

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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.