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Finding the Fourth Proportional to 21,308,083,203.60, 29,880,294,087.60 and 21,308,083,203.60

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Solution

The fourth proportional to 21,308,083,203.60, 29,880,294,087.60 and 21,308,083,203.60 is: 29,880,294,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308,083,203.60 : 29,880,294,087.60 = 21,308,083,203.60 : x
  2. Step 2: Convert to fraction form
    21,308,083,203.60/29,880,294,087.60 = 21,308,083,203.60/x
  3. Step 3: Cross multiply
    21,308,083,203.60x = 29,880,294,087.60 × 21,308,083,203.60
  4. Step 4: Simplify right side
    21,308,083,203.60x = 636,691,792,566,617,899,008
  5. Step 5: Solve for x
    x = 636,691,792,566,617,899,008/21,308,083,203.60
  6. Step 6: Final answer
    x = 29,880,294,087.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.