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Finding the Fourth Proportional to 861,456,384,006.20, 1,292,184,576,009.30 and 861,456,384,006.20

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Solution

The fourth proportional to 861,456,384,006.20, 1,292,184,576,009.30 and 861,456,384,006.20 is: 1,292,184,576,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,456,384,006.20 : 1,292,184,576,009.30 = 861,456,384,006.20 : x
  2. Step 2: Convert to fraction form
    861,456,384,006.20/1,292,184,576,009.30 = 861,456,384,006.20/x
  3. Step 3: Cross multiply
    861,456,384,006.20x = 1,292,184,576,009.30 × 861,456,384,006.20
  4. Step 4: Simplify right side
    861,456,384,006.20x = 1,113,160,652,317,556,230,586,368
  5. Step 5: Solve for x
    x = 1,113,160,652,317,556,230,586,368/861,456,384,006.20
  6. Step 6: Final answer
    x = 1,292,184,576,009.30

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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.