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Finding the Fourth Proportional to 13,121,906,688,552, 19,682,860,032,829 and 13,121,906,688,552

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Solution

The fourth proportional to 13,121,906,688,552, 19,682,860,032,829 and 13,121,906,688,552 is: 19,682,860,032,829

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,121,906,688,552 : 19,682,860,032,829 = 13,121,906,688,552 : x
  2. Step 2: Convert to fraction form
    13,121,906,688,552/19,682,860,032,829 = 13,121,906,688,552/x
  3. Step 3: Cross multiply
    13,121,906,688,552x = 19,682,860,032,829 × 13,121,906,688,552
  4. Step 4: Simplify right side
    13,121,906,688,552x = 258,276,652,714,611,679,934,021,632
  5. Step 5: Solve for x
    x = 258,276,652,714,611,679,934,021,632/13,121,906,688,552
  6. Step 6: Final answer
    x = 19,682,860,032,829

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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.