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Finding the Fourth Proportional to 947,027,862,001.09, 1,420,541,793,001.80 and 947,027,862,001.09

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Solution

The fourth proportional to 947,027,862,001.09, 1,420,541,793,001.80 and 947,027,862,001.09 is: 1,420,541,793,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,027,862,001.09 : 1,420,541,793,001.80 = 947,027,862,001.09 : x
  2. Step 2: Convert to fraction form
    947,027,862,001.09/1,420,541,793,001.80 = 947,027,862,001.09/x
  3. Step 3: Cross multiply
    947,027,862,001.09x = 1,420,541,793,001.80 × 947,027,862,001.09
  4. Step 4: Simplify right side
    947,027,862,001.09x = 1,345,292,657,109,689,603,981,312
  5. Step 5: Solve for x
    x = 1,345,292,657,109,689,603,981,312/947,027,862,001.09
  6. Step 6: Final answer
    x = 1,420,541,793,001.80

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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.