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Finding the Fourth Proportional to 1,655,006,919,900.30, 2,482,510,379,850.50 and 1,655,006,919,900.30

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Solution

The fourth proportional to 1,655,006,919,900.30, 2,482,510,379,850.50 and 1,655,006,919,900.30 is: 2,482,510,379,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655,006,919,900.30 : 2,482,510,379,850.50 = 1,655,006,919,900.30 : x
  2. Step 2: Convert to fraction form
    1,655,006,919,900.30/2,482,510,379,850.50 = 1,655,006,919,900.30/x
  3. Step 3: Cross multiply
    1,655,006,919,900.30x = 2,482,510,379,850.50 × 1,655,006,919,900.30
  4. Step 4: Simplify right side
    1,655,006,919,900.30x = 4,108,571,857,376,899,888,054,272
  5. Step 5: Solve for x
    x = 4,108,571,857,376,899,888,054,272/1,655,006,919,900.30
  6. Step 6: Final answer
    x = 2,482,510,379,850.50

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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.