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Finding the Fourth Proportional to 611,245,408,824.80, 916,868,113,237.20 and 611,245,408,824.80

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Solution

The fourth proportional to 611,245,408,824.80, 916,868,113,237.20 and 611,245,408,824.80 is: 916,868,113,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,245,408,824.80 : 916,868,113,237.20 = 611,245,408,824.80 : x
  2. Step 2: Convert to fraction form
    611,245,408,824.80/916,868,113,237.20 = 611,245,408,824.80/x
  3. Step 3: Cross multiply
    611,245,408,824.80x = 916,868,113,237.20 × 611,245,408,824.80
  4. Step 4: Simplify right side
    611,245,408,824.80x = 560,431,424,714,095,353,397,248
  5. Step 5: Solve for x
    x = 560,431,424,714,095,353,397,248/611,245,408,824.80
  6. Step 6: Final answer
    x = 916,868,113,237.20

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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.