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Finding the Fourth Proportional to 442,866,271.40, 664,299,407.10 and 442,866,271.40

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Solution

The fourth proportional to 442,866,271.40, 664,299,407.10 and 442,866,271.40 is: 664,299,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,866,271.40 : 664,299,407.10 = 442,866,271.40 : x
  2. Step 2: Convert to fraction form
    442,866,271.40/664,299,407.10 = 442,866,271.40/x
  3. Step 3: Cross multiply
    442,866,271.40x = 664,299,407.10 × 442,866,271.40
  4. Step 4: Simplify right side
    442,866,271.40x = 294,195,801,515,607,680
  5. Step 5: Solve for x
    x = 294,195,801,515,607,680/442,866,271.40
  6. Step 6: Final answer
    x = 664,299,407.10

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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.