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Finding the Fourth Proportional to 946,285,428.90, 1,419,428,143.35 and 946,285,428.90

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Solution

The fourth proportional to 946,285,428.90, 1,419,428,143.35 and 946,285,428.90 is: 1,419,428,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,285,428.90 : 1,419,428,143.35 = 946,285,428.90 : x
  2. Step 2: Convert to fraction form
    946,285,428.90/1,419,428,143.35 = 946,285,428.90/x
  3. Step 3: Cross multiply
    946,285,428.90x = 1,419,428,143.35 × 946,285,428.90
  4. Step 4: Simplify right side
    946,285,428.90x = 1,343,184,169,422,685,184
  5. Step 5: Solve for x
    x = 1,343,184,169,422,685,184/946,285,428.90
  6. Step 6: Final answer
    x = 1,419,428,143.35

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1.5x scale

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.