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Finding the Fourth Proportional to 14,486,880,029.60, 21,730,320,044.43 and 14,486,880,029.60

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Solution

The fourth proportional to 14,486,880,029.60, 21,730,320,044.43 and 14,486,880,029.60 is: 21,730,320,044.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486,880,029.60 : 21,730,320,044.43 = 14,486,880,029.60 : x
  2. Step 2: Convert to fraction form
    14,486,880,029.60/21,730,320,044.43 = 14,486,880,029.60/x
  3. Step 3: Cross multiply
    14,486,880,029.60x = 21,730,320,044.43 × 14,486,880,029.60
  4. Step 4: Simplify right side
    14,486,880,029.60x = 314,804,539,488,469,581,824
  5. Step 5: Solve for x
    x = 314,804,539,488,469,581,824/14,486,880,029.60
  6. Step 6: Final answer
    x = 21,730,320,044.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.