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Finding the Fourth Proportional to 472,392,485.40, 708,588,728.10 and 427,193,428.35

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Solution

The fourth proportional to 472,392,485.40, 708,588,728.10 and 427,193,428.35 is: 640,790,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,485.40 : 708,588,728.10 = 427,193,428.35 : x
  2. Step 2: Convert to fraction form
    472,392,485.40/708,588,728.10 = 427,193,428.35/x
  3. Step 3: Cross multiply
    472,392,485.40x = 708,588,728.10 × 427,193,428.35
  4. Step 4: Simplify right side
    472,392,485.40x = 302,704,448,047,204,992
  5. Step 5: Solve for x
    x = 302,704,448,047,204,992/472,392,485.40
  6. Step 6: Final answer
    x = 640,790,142.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.