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Finding the Fourth Proportional to 83,422,643.10, 125,133,964.65 and 83,422,643.10

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Solution

The fourth proportional to 83,422,643.10, 125,133,964.65 and 83,422,643.10 is: 125,133,964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,422,643.10 : 125,133,964.65 = 83,422,643.10 : x
  2. Step 2: Convert to fraction form
    83,422,643.10/125,133,964.65 = 83,422,643.10/x
  3. Step 3: Cross multiply
    83,422,643.10x = 125,133,964.65 × 83,422,643.10
  4. Step 4: Simplify right side
    83,422,643.10x = 10,439,006,072,684,966
  5. Step 5: Solve for x
    x = 10,439,006,072,684,966/83,422,643.10
  6. Step 6: Final answer
    x = 125,133,964.65

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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.