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Finding the Fourth Proportional to 289,621,127.20, 434,431,690.80 and 289,621,127.20

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Solution

The fourth proportional to 289,621,127.20, 434,431,690.80 and 289,621,127.20 is: 434,431,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,621,127.20 : 434,431,690.80 = 289,621,127.20 : x
  2. Step 2: Convert to fraction form
    289,621,127.20/434,431,690.80 = 289,621,127.20/x
  3. Step 3: Cross multiply
    289,621,127.20x = 434,431,690.80 × 289,621,127.20
  4. Step 4: Simplify right side
    289,621,127.20x = 125,820,595,980,897,872
  5. Step 5: Solve for x
    x = 125,820,595,980,897,872/289,621,127.20
  6. Step 6: Final answer
    x = 434,431,690.80

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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.