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Finding the Fourth Proportional to 31,146,305.40, 46,719,458.10 and 31,146,305.40

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Solution

The fourth proportional to 31,146,305.40, 46,719,458.10 and 31,146,305.40 is: 46,719,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,146,305.40 : 46,719,458.10 = 31,146,305.40 : x
  2. Step 2: Convert to fraction form
    31,146,305.40/46,719,458.10 = 31,146,305.40/x
  3. Step 3: Cross multiply
    31,146,305.40x = 46,719,458.10 × 31,146,305.40
  4. Step 4: Simplify right side
    31,146,305.40x = 1,455,138,510,105,103.75
  5. Step 5: Solve for x
    x = 1,455,138,510,105,103.75/31,146,305.40
  6. Step 6: Final answer
    x = 46,719,458.10

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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.