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Finding the Fourth Proportional to 12,846,569,657,415, 19,269,854,486,122 and 12,846,569,657,415

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Solution

The fourth proportional to 12,846,569,657,415, 19,269,854,486,122 and 12,846,569,657,415 is: 19,269,854,486,122

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846,569,657,415 : 19,269,854,486,122 = 12,846,569,657,415 : x
  2. Step 2: Convert to fraction form
    12,846,569,657,415/19,269,854,486,122 = 12,846,569,657,415/x
  3. Step 3: Cross multiply
    12,846,569,657,415x = 19,269,854,486,122 × 12,846,569,657,415
  4. Step 4: Simplify right side
    12,846,569,657,415x = 247,551,527,944,217,197,767,819,264
  5. Step 5: Solve for x
    x = 247,551,527,944,217,197,767,819,264/12,846,569,657,415
  6. Step 6: Final answer
    x = 19,269,854,486,122

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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.