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Finding the Fourth Proportional to 442,866,474.90, 664,299,712.35 and 442,866,474.90

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Solution

The fourth proportional to 442,866,474.90, 664,299,712.35 and 442,866,474.90 is: 664,299,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,866,474.90 : 664,299,712.35 = 442,866,474.90 : x
  2. Step 2: Convert to fraction form
    442,866,474.90/664,299,712.35 = 442,866,474.90/x
  3. Step 3: Cross multiply
    442,866,474.90x = 664,299,712.35 × 442,866,474.90
  4. Step 4: Simplify right side
    442,866,474.90x = 294,196,071,885,528,512
  5. Step 5: Solve for x
    x = 294,196,071,885,528,512/442,866,474.90
  6. Step 6: Final answer
    x = 664,299,712.35

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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.