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Finding the Fourth Proportional to 314,928,473.70, 472,392,710.55 and 288,143,847.30

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Solution

The fourth proportional to 314,928,473.70, 472,392,710.55 and 288,143,847.30 is: 432,215,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,473.70 : 472,392,710.55 = 288,143,847.30 : x
  2. Step 2: Convert to fraction form
    314,928,473.70/472,392,710.55 = 288,143,847.30/x
  3. Step 3: Cross multiply
    314,928,473.70x = 472,392,710.55 × 288,143,847.30
  4. Step 4: Simplify right side
    314,928,473.70x = 136,117,053,054,352,304
  5. Step 5: Solve for x
    x = 136,117,053,054,352,304/314,928,473.70
  6. Step 6: Final answer
    x = 432,215,770.95

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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.