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Finding the Fourth Proportional to 144,896,349.40, 217,344,524.10 and 144,896,349.40

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Solution

The fourth proportional to 144,896,349.40, 217,344,524.10 and 144,896,349.40 is: 217,344,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,896,349.40 : 217,344,524.10 = 144,896,349.40 : x
  2. Step 2: Convert to fraction form
    144,896,349.40/217,344,524.10 = 144,896,349.40/x
  3. Step 3: Cross multiply
    144,896,349.40x = 217,344,524.10 × 144,896,349.40
  4. Step 4: Simplify right side
    144,896,349.40x = 31,492,428,104,170,320
  5. Step 5: Solve for x
    x = 31,492,428,104,170,320/144,896,349.40
  6. Step 6: Final answer
    x = 217,344,524.10

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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.