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Finding the Fourth Proportional to 1,007,028,689.86, 1,510,704,458.46 and 424,848,689.64

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Solution

The fourth proportional to 1,007,028,689.86, 1,510,704,458.46 and 424,848,689.64 is: 637,341,136.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007,028,689.86 : 1,510,704,458.46 = 424,848,689.64 : x
  2. Step 2: Convert to fraction form
    1,007,028,689.86/1,510,704,458.46 = 424,848,689.64/x
  3. Step 3: Cross multiply
    1,007,028,689.86x = 1,510,704,458.46 × 424,848,689.64
  4. Step 4: Simplify right side
    1,007,028,689.86x = 641,820,809,610,036,864
  5. Step 5: Solve for x
    x = 641,820,809,610,036,864/1,007,028,689.86
  6. Step 6: Final answer
    x = 637,341,136.43

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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.