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Finding the Fourth Proportional to 314,928,400.60, 472,392,600.90 and 177,178,893.40

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Solution

The fourth proportional to 314,928,400.60, 472,392,600.90 and 177,178,893.40 is: 265,768,340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,400.60 : 472,392,600.90 = 177,178,893.40 : x
  2. Step 2: Convert to fraction form
    314,928,400.60/472,392,600.90 = 177,178,893.40/x
  3. Step 3: Cross multiply
    314,928,400.60x = 472,392,600.90 × 177,178,893.40
  4. Step 4: Simplify right side
    314,928,400.60x = 83,697,998,277,809,840
  5. Step 5: Solve for x
    x = 83,697,998,277,809,840/314,928,400.60
  6. Step 6: Final answer
    x = 265,768,340.10

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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.