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Finding the Fourth Proportional to 26,156,712,456,098, 39,235,068,684,146 and 26,156,712,456,098

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Solution

The fourth proportional to 26,156,712,456,098, 39,235,068,684,146 and 26,156,712,456,098 is: 39,235,068,684,146

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,156,712,456,098 : 39,235,068,684,146 = 26,156,712,456,098 : x
  2. Step 2: Convert to fraction form
    26,156,712,456,098/39,235,068,684,146 = 26,156,712,456,098/x
  3. Step 3: Cross multiply
    26,156,712,456,098x = 39,235,068,684,146 × 26,156,712,456,098
  4. Step 4: Simplify right side
    26,156,712,456,098x = 1,026,260,409,766,462,289,522,720,768
  5. Step 5: Solve for x
    x = 1,026,260,409,766,462,289,522,720,768/26,156,712,456,098
  6. Step 6: Final answer
    x = 39,235,068,684,146

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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.