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Finding the Fourth Proportional to 155,143,695,000.15, 232,715,542,500.23 and 155,143,695,000.15

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Solution

The fourth proportional to 155,143,695,000.15, 232,715,542,500.23 and 155,143,695,000.15 is: 232,715,542,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,143,695,000.15 : 232,715,542,500.23 = 155,143,695,000.15 : x
  2. Step 2: Convert to fraction form
    155,143,695,000.15/232,715,542,500.23 = 155,143,695,000.15/x
  3. Step 3: Cross multiply
    155,143,695,000.15x = 232,715,542,500.23 × 155,143,695,000.15
  4. Step 4: Simplify right side
    155,143,695,000.15x = 36,104,349,147,450,128,203,776
  5. Step 5: Solve for x
    x = 36,104,349,147,450,128,203,776/155,143,695,000.15
  6. Step 6: Final answer
    x = 232,715,542,500.23

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1.5x scale

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.