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Finding the Fourth Proportional to 6,283,476,055,999.40, 9,425,214,083,999.90 and 6,283,476,055,999.40

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Solution

The fourth proportional to 6,283,476,055,999.40, 9,425,214,083,999.90 and 6,283,476,055,999.40 is: 9,425,214,083,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,476,055,999.40 : 9,425,214,083,999.90 = 6,283,476,055,999.40 : x
  2. Step 2: Convert to fraction form
    6,283,476,055,999.40/9,425,214,083,999.90 = 6,283,476,055,999.40/x
  3. Step 3: Cross multiply
    6,283,476,055,999.40x = 9,425,214,083,999.90 × 6,283,476,055,999.40
  4. Step 4: Simplify right side
    6,283,476,055,999.40x = 59,223,107,019,481,696,790,642,688
  5. Step 5: Solve for x
    x = 59,223,107,019,481,696,790,642,688/6,283,476,055,999.40
  6. Step 6: Final answer
    x = 9,425,214,083,999.90

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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.