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Finding the Fourth Proportional to 131,906,688,009.30, 197,860,032,013.95 and 131,906,688,009.30

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Solution

The fourth proportional to 131,906,688,009.30, 197,860,032,013.95 and 131,906,688,009.30 is: 197,860,032,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,906,688,009.30 : 197,860,032,013.95 = 131,906,688,009.30 : x
  2. Step 2: Convert to fraction form
    131,906,688,009.30/197,860,032,013.95 = 131,906,688,009.30/x
  3. Step 3: Cross multiply
    131,906,688,009.30x = 197,860,032,013.95 × 131,906,688,009.30
  4. Step 4: Simplify right side
    131,906,688,009.30x = 26,099,061,512,374,214,197,248
  5. Step 5: Solve for x
    x = 26,099,061,512,374,214,197,248/131,906,688,009.30
  6. Step 6: Final answer
    x = 197,860,032,013.95

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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.