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Finding the Fourth Proportional to 314,928,671.70, 472,393,007.55 and 288,144,045.30

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Solution

The fourth proportional to 314,928,671.70, 472,393,007.55 and 288,144,045.30 is: 432,216,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,671.70 : 472,393,007.55 = 288,144,045.30 : x
  2. Step 2: Convert to fraction form
    314,928,671.70/472,393,007.55 = 288,144,045.30/x
  3. Step 3: Cross multiply
    314,928,671.70x = 472,393,007.55 × 288,144,045.30
  4. Step 4: Simplify right side
    314,928,671.70x = 136,117,232,166,890,448
  5. Step 5: Solve for x
    x = 136,117,232,166,890,448/314,928,671.70
  6. Step 6: Final answer
    x = 432,216,067.95

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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.