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Finding the Fourth Proportional to 21,308,083,274.10, 29,880,294,186.30 and 21,308,083,274.10

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Solution

The fourth proportional to 21,308,083,274.10, 29,880,294,186.30 and 21,308,083,274.10 is: 29,880,294,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308,083,274.10 : 29,880,294,186.30 = 21,308,083,274.10 : x
  2. Step 2: Convert to fraction form
    21,308,083,274.10/29,880,294,186.30 = 21,308,083,274.10/x
  3. Step 3: Cross multiply
    21,308,083,274.10x = 29,880,294,186.30 × 21,308,083,274.10
  4. Step 4: Simplify right side
    21,308,083,274.10x = 636,691,796,776,286,420,992
  5. Step 5: Solve for x
    x = 636,691,796,776,286,420,992/21,308,083,274.10
  6. Step 6: Final answer
    x = 29,880,294,186.30

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