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Finding the Fourth Proportional to 45,917,864,320.80, 68,767,957,364.40 and 45,917,864,320.80

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Solution

The fourth proportional to 45,917,864,320.80, 68,767,957,364.40 and 45,917,864,320.80 is: 68,767,957,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,917,864,320.80 : 68,767,957,364.40 = 45,917,864,320.80 : x
  2. Step 2: Convert to fraction form
    45,917,864,320.80/68,767,957,364.40 = 45,917,864,320.80/x
  3. Step 3: Cross multiply
    45,917,864,320.80x = 68,767,957,364.40 × 45,917,864,320.80
  4. Step 4: Simplify right side
    45,917,864,320.80x = 3,157,677,735,877,078,417,408
  5. Step 5: Solve for x
    x = 3,157,677,735,877,078,417,408/45,917,864,320.80
  6. Step 6: Final answer
    x = 68,767,957,364.40

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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.