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Finding the Fourth Proportional to 314,928,473.80, 472,392,710.70 and 238,400,969.80

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Solution

The fourth proportional to 314,928,473.80, 472,392,710.70 and 238,400,969.80 is: 357,601,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,473.80 : 472,392,710.70 = 238,400,969.80 : x
  2. Step 2: Convert to fraction form
    314,928,473.80/472,392,710.70 = 238,400,969.80/x
  3. Step 3: Cross multiply
    314,928,473.80x = 472,392,710.70 × 238,400,969.80
  4. Step 4: Simplify right side
    314,928,473.80x = 112,618,880,357,330,832
  5. Step 5: Solve for x
    x = 112,618,880,357,330,832/314,928,473.80
  6. Step 6: Final answer
    x = 357,601,454.70

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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.