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Finding the Fourth Proportional to 152,886,125.10, 214,645,236.90 and 152,886,125.10

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Solution

The fourth proportional to 152,886,125.10, 214,645,236.90 and 152,886,125.10 is: 214,645,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,886,125.10 : 214,645,236.90 = 152,886,125.10 : x
  2. Step 2: Convert to fraction form
    152,886,125.10/214,645,236.90 = 152,886,125.10/x
  3. Step 3: Cross multiply
    152,886,125.10x = 214,645,236.90 × 152,886,125.10
  4. Step 4: Simplify right side
    152,886,125.10x = 32,816,278,540,812,536
  5. Step 5: Solve for x
    x = 32,816,278,540,812,536/152,886,125.10
  6. Step 6: Final answer
    x = 214,645,236.90

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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.