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Finding the Fourth Proportional to 160,052,611.35, 224,678,317.65 and 160,052,611.35

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Solution

The fourth proportional to 160,052,611.35, 224,678,317.65 and 160,052,611.35 is: 224,678,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,052,611.35 : 224,678,317.65 = 160,052,611.35 : x
  2. Step 2: Convert to fraction form
    160,052,611.35/224,678,317.65 = 160,052,611.35/x
  3. Step 3: Cross multiply
    160,052,611.35x = 224,678,317.65 × 160,052,611.35
  4. Step 4: Simplify right side
    160,052,611.35x = 35,960,351,453,607,296
  5. Step 5: Solve for x
    x = 35,960,351,453,607,296/160,052,611.35
  6. Step 6: Final answer
    x = 224,678,317.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.