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Finding the Fourth Proportional to 31,104,071.40, 46,656,107.10 and 31,104,071.40

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Solution

The fourth proportional to 31,104,071.40, 46,656,107.10 and 31,104,071.40 is: 46,656,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104,071.40 : 46,656,107.10 = 31,104,071.40 : x
  2. Step 2: Convert to fraction form
    31,104,071.40/46,656,107.10 = 31,104,071.40/x
  3. Step 3: Cross multiply
    31,104,071.40x = 46,656,107.10 × 31,104,071.40
  4. Step 4: Simplify right side
    31,104,071.40x = 1,451,194,886,484,447
  5. Step 5: Solve for x
    x = 1,451,194,886,484,447/31,104,071.40
  6. Step 6: Final answer
    x = 46,656,107.10

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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.