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Finding the Fourth Proportional to 1,288,005,234.10, 1,932,007,851.15 and 1,288,005,234.10

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Solution

The fourth proportional to 1,288,005,234.10, 1,932,007,851.15 and 1,288,005,234.10 is: 1,932,007,851.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,005,234.10 : 1,932,007,851.15 = 1,288,005,234.10 : x
  2. Step 2: Convert to fraction form
    1,288,005,234.10/1,932,007,851.15 = 1,288,005,234.10/x
  3. Step 3: Cross multiply
    1,288,005,234.10x = 1,932,007,851.15 × 1,288,005,234.10
  4. Step 4: Simplify right side
    1,288,005,234.10x = 2,488,436,224,603,493,888
  5. Step 5: Solve for x
    x = 2,488,436,224,603,493,888/1,288,005,234.10
  6. Step 6: Final answer
    x = 1,932,007,851.15

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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.