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Finding the Fourth Proportional to 646,766,646.40, 892,540,295.52 and 353,411,214.40

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Solution

The fourth proportional to 646,766,646.40, 892,540,295.52 and 353,411,214.40 is: 487,708,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,766,646.40 : 892,540,295.52 = 353,411,214.40 : x
  2. Step 2: Convert to fraction form
    646,766,646.40/892,540,295.52 = 353,411,214.40/x
  3. Step 3: Cross multiply
    646,766,646.40x = 892,540,295.52 × 353,411,214.40
  4. Step 4: Simplify right side
    646,766,646.40x = 315,433,749,740,658,048
  5. Step 5: Solve for x
    x = 315,433,749,740,658,048/646,766,646.40
  6. Step 6: Final answer
    x = 487,708,745.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.