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Finding the Fourth Proportional to 947,027,862,006.30, 1,420,541,793,009.40 and 947,027,862,006.30

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Solution

The fourth proportional to 947,027,862,006.30, 1,420,541,793,009.40 and 947,027,862,006.30 is: 1,420,541,793,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,027,862,006.30 : 1,420,541,793,009.40 = 947,027,862,006.30 : x
  2. Step 2: Convert to fraction form
    947,027,862,006.30/1,420,541,793,009.40 = 947,027,862,006.30/x
  3. Step 3: Cross multiply
    947,027,862,006.30x = 1,420,541,793,009.40 × 947,027,862,006.30
  4. Step 4: Simplify right side
    947,027,862,006.30x = 1,345,292,657,124,287,929,384,960
  5. Step 5: Solve for x
    x = 1,345,292,657,124,287,929,384,960/947,027,862,006.30
  6. Step 6: Final answer
    x = 1,420,541,793,009.40

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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.