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Finding the Fourth Proportional to 947,027,862,003.80, 1,420,541,793,005.70 and 947,027,862,003.80

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Solution

The fourth proportional to 947,027,862,003.80, 1,420,541,793,005.70 and 947,027,862,003.80 is: 1,420,541,793,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,027,862,003.80 : 1,420,541,793,005.70 = 947,027,862,003.80 : x
  2. Step 2: Convert to fraction form
    947,027,862,003.80/1,420,541,793,005.70 = 947,027,862,003.80/x
  3. Step 3: Cross multiply
    947,027,862,003.80x = 1,420,541,793,005.70 × 947,027,862,003.80
  4. Step 4: Simplify right side
    947,027,862,003.80x = 1,345,292,657,117,232,640,294,912
  5. Step 5: Solve for x
    x = 1,345,292,657,117,232,640,294,912/947,027,862,003.80
  6. Step 6: Final answer
    x = 1,420,541,793,005.70

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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.