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Finding the Fourth Proportional to 31,184,419.40, 46,776,629.10 and 31,184,419.40

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Solution

The fourth proportional to 31,184,419.40, 46,776,629.10 and 31,184,419.40 is: 46,776,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,184,419.40 : 46,776,629.10 = 31,184,419.40 : x
  2. Step 2: Convert to fraction form
    31,184,419.40/46,776,629.10 = 31,184,419.40/x
  3. Step 3: Cross multiply
    31,184,419.40x = 46,776,629.10 × 31,184,419.40
  4. Step 4: Simplify right side
    31,184,419.40x = 1,458,702,019,972,644.50
  5. Step 5: Solve for x
    x = 1,458,702,019,972,644.50/31,184,419.40
  6. Step 6: Final answer
    x = 46,776,629.10

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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.