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Finding the Fourth Proportional to 314,928,651.60, 471,542,671.80 and 314,928,651.60

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Solution

The fourth proportional to 314,928,651.60, 471,542,671.80 and 314,928,651.60 is: 471,542,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,651.60 : 471,542,671.80 = 314,928,651.60 : x
  2. Step 2: Convert to fraction form
    314,928,651.60/471,542,671.80 = 314,928,651.60/x
  3. Step 3: Cross multiply
    314,928,651.60x = 471,542,671.80 × 314,928,651.60
  4. Step 4: Simplify right side
    314,928,651.60x = 148,502,297,801,835,360
  5. Step 5: Solve for x
    x = 148,502,297,801,835,360/314,928,651.60
  6. Step 6: Final answer
    x = 471,542,671.80

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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.