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Finding the Fourth Proportional to 142,169,063.10, 213,253,594.65 and 142,169,063.10

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Solution

The fourth proportional to 142,169,063.10, 213,253,594.65 and 142,169,063.10 is: 213,253,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,169,063.10 : 213,253,594.65 = 142,169,063.10 : x
  2. Step 2: Convert to fraction form
    142,169,063.10/213,253,594.65 = 142,169,063.10/x
  3. Step 3: Cross multiply
    142,169,063.10x = 213,253,594.65 × 142,169,063.10
  4. Step 4: Simplify right side
    142,169,063.10x = 30,318,063,754,097,672
  5. Step 5: Solve for x
    x = 30,318,063,754,097,672/142,169,063.10
  6. Step 6: Final answer
    x = 213,253,594.65

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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.