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Finding the Fourth Proportional to 4,925,966,723,998.70, 7,388,950,085,998.10 and 4,925,966,723,998.70

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Solution

The fourth proportional to 4,925,966,723,998.70, 7,388,950,085,998.10 and 4,925,966,723,998.70 is: 7,388,950,085,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925,966,723,998.70 : 7,388,950,085,998.10 = 4,925,966,723,998.70 : x
  2. Step 2: Convert to fraction form
    4,925,966,723,998.70/7,388,950,085,998.10 = 4,925,966,723,998.70/x
  3. Step 3: Cross multiply
    4,925,966,723,998.70x = 7,388,950,085,998.10 × 4,925,966,723,998.70
  4. Step 4: Simplify right side
    4,925,966,723,998.70x = 36,397,722,248,913,970,744,262,656
  5. Step 5: Solve for x
    x = 36,397,722,248,913,970,744,262,656/4,925,966,723,998.70
  6. Step 6: Final answer
    x = 7,388,950,085,998.10

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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.