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Finding the Fourth Proportional to 26,156,712,456,099, 39,235,068,684,148 and 26,156,712,456,099

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Solution

The fourth proportional to 26,156,712,456,099, 39,235,068,684,148 and 26,156,712,456,099 is: 39,235,068,684,148

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,156,712,456,099 : 39,235,068,684,148 = 26,156,712,456,099 : x
  2. Step 2: Convert to fraction form
    26,156,712,456,099/39,235,068,684,148 = 26,156,712,456,099/x
  3. Step 3: Cross multiply
    26,156,712,456,099x = 39,235,068,684,148 × 26,156,712,456,099
  4. Step 4: Simplify right side
    26,156,712,456,099x = 1,026,260,409,766,553,823,865,733,120
  5. Step 5: Solve for x
    x = 1,026,260,409,766,553,823,865,733,120/26,156,712,456,099
  6. Step 6: Final answer
    x = 39,235,068,684,148

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.