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Finding the Fourth Proportional to 118,723,541.20, 178,085,311.80 and 118,723,541.20

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Solution

The fourth proportional to 118,723,541.20, 178,085,311.80 and 118,723,541.20 is: 178,085,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,723,541.20 : 178,085,311.80 = 118,723,541.20 : x
  2. Step 2: Convert to fraction form
    118,723,541.20/178,085,311.80 = 118,723,541.20/x
  3. Step 3: Cross multiply
    118,723,541.20x = 178,085,311.80 × 118,723,541.20
  4. Step 4: Simplify right side
    118,723,541.20x = 21,142,918,852,602,148
  5. Step 5: Solve for x
    x = 21,142,918,852,602,148/118,723,541.20
  6. Step 6: Final answer
    x = 178,085,311.80

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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.