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Finding the Fourth Proportional to 314,928,374.70, 472,392,562.05 and 216,718,077.90

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Solution

The fourth proportional to 314,928,374.70, 472,392,562.05 and 216,718,077.90 is: 325,077,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,374.70 : 472,392,562.05 = 216,718,077.90 : x
  2. Step 2: Convert to fraction form
    314,928,374.70/472,392,562.05 = 216,718,077.90/x
  3. Step 3: Cross multiply
    314,928,374.70x = 472,392,562.05 × 216,718,077.90
  4. Step 4: Simplify right side
    314,928,374.70x = 102,376,008,061,732,496
  5. Step 5: Solve for x
    x = 102,376,008,061,732,496/314,928,374.70
  6. Step 6: Final answer
    x = 325,077,116.85

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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.