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Finding the Fourth Proportional to 3,105,746,671,567, 4,658,620,007,350.40 and 3,105,746,671,567

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Solution

The fourth proportional to 3,105,746,671,567, 4,658,620,007,350.40 and 3,105,746,671,567 is: 4,658,620,007,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105,746,671,567 : 4,658,620,007,350.40 = 3,105,746,671,567 : x
  2. Step 2: Convert to fraction form
    3,105,746,671,567/4,658,620,007,350.40 = 3,105,746,671,567/x
  3. Step 3: Cross multiply
    3,105,746,671,567x = 4,658,620,007,350.40 × 3,105,746,671,567
  4. Step 4: Simplify right side
    3,105,746,671,567x = 14,468,493,581,923,939,327,672,320
  5. Step 5: Solve for x
    x = 14,468,493,581,923,939,327,672,320/3,105,746,671,567
  6. Step 6: Final answer
    x = 4,658,620,007,350.40

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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.