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Finding the Fourth Proportional to 314,928,409.80, 472,392,614.70 and 84,889,252.20

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Solution

The fourth proportional to 314,928,409.80, 472,392,614.70 and 84,889,252.20 is: 127,333,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,409.80 : 472,392,614.70 = 84,889,252.20 : x
  2. Step 2: Convert to fraction form
    314,928,409.80/472,392,614.70 = 84,889,252.20/x
  3. Step 3: Cross multiply
    314,928,409.80x = 472,392,614.70 × 84,889,252.20
  4. Step 4: Simplify right side
    314,928,409.80x = 40,101,055,806,685,728
  5. Step 5: Solve for x
    x = 40,101,055,806,685,728/314,928,409.80
  6. Step 6: Final answer
    x = 127,333,878.30

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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.