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Finding the Fourth Proportional to 145,160,164.80, 217,740,250.80 and 145,160,164.80

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Solution

The fourth proportional to 145,160,164.80, 217,740,250.80 and 145,160,164.80 is: 217,740,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,160,164.80 : 217,740,250.80 = 145,160,164.80 : x
  2. Step 2: Convert to fraction form
    145,160,164.80/217,740,250.80 = 145,160,164.80/x
  3. Step 3: Cross multiply
    145,160,164.80x = 217,740,250.80 × 145,160,164.80
  4. Step 4: Simplify right side
    145,160,164.80x = 31,607,210,689,721,336
  5. Step 5: Solve for x
    x = 31,607,210,689,721,336/145,160,164.80
  6. Step 6: Final answer
    x = 217,740,250.80

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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.