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Finding the Fourth Proportional to 30,709,174,906.10, 46,063,762,359.15 and 30,709,174,906.10

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Solution

The fourth proportional to 30,709,174,906.10, 46,063,762,359.15 and 30,709,174,906.10 is: 46,063,762,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709,174,906.10 : 46,063,762,359.15 = 30,709,174,906.10 : x
  2. Step 2: Convert to fraction form
    30,709,174,906.10/46,063,762,359.15 = 30,709,174,906.10/x
  3. Step 3: Cross multiply
    30,709,174,906.10x = 46,063,762,359.15 × 30,709,174,906.10
  4. Step 4: Simplify right side
    30,709,174,906.10x = 1,414,580,135,120,162,783,232
  5. Step 5: Solve for x
    x = 1,414,580,135,120,162,783,232/30,709,174,906.10
  6. Step 6: Final answer
    x = 46,063,762,359.15

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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.