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Finding the Fourth Proportional to 314,928,908.60, 472,393,362.90 and 177,179,401.40

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Solution

The fourth proportional to 314,928,908.60, 472,393,362.90 and 177,179,401.40 is: 265,769,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,908.60 : 472,393,362.90 = 177,179,401.40 : x
  2. Step 2: Convert to fraction form
    314,928,908.60/472,393,362.90 = 177,179,401.40/x
  3. Step 3: Cross multiply
    314,928,908.60x = 472,393,362.90 × 177,179,401.40
  4. Step 4: Simplify right side
    314,928,908.60x = 83,698,373,263,954,960
  5. Step 5: Solve for x
    x = 83,698,373,263,954,960/314,928,908.60
  6. Step 6: Final answer
    x = 265,769,102.10

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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.