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Finding the Fourth Proportional to 442,854,378.30, 664,281,567.45 and 442,854,378.30

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Solution

The fourth proportional to 442,854,378.30, 664,281,567.45 and 442,854,378.30 is: 664,281,567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,854,378.30 : 664,281,567.45 = 442,854,378.30 : x
  2. Step 2: Convert to fraction form
    442,854,378.30/664,281,567.45 = 442,854,378.30/x
  3. Step 3: Cross multiply
    442,854,378.30x = 664,281,567.45 × 442,854,378.30
  4. Step 4: Simplify right side
    442,854,378.30x = 294,180,000,569,219,264
  5. Step 5: Solve for x
    x = 294,180,000,569,219,264/442,854,378.30
  6. Step 6: Final answer
    x = 664,281,567.45

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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.