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Finding the Fourth Proportional to 96,722,262,006.30, 145,083,393,009.45 and 96,722,262,006.30

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Solution

The fourth proportional to 96,722,262,006.30, 145,083,393,009.45 and 96,722,262,006.30 is: 145,083,393,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,722,262,006.30 : 145,083,393,009.45 = 96,722,262,006.30 : x
  2. Step 2: Convert to fraction form
    96,722,262,006.30/145,083,393,009.45 = 96,722,262,006.30/x
  3. Step 3: Cross multiply
    96,722,262,006.30x = 145,083,393,009.45 × 96,722,262,006.30
  4. Step 4: Simplify right side
    96,722,262,006.30x = 14,032,793,951,423,017,517,056
  5. Step 5: Solve for x
    x = 14,032,793,951,423,017,517,056/96,722,262,006.30
  6. Step 6: Final answer
    x = 145,083,393,009.45

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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.