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Finding the Fourth Proportional to 156,944,978,999.80, 235,417,468,499.70 and 156,944,978,999.80

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Solution

The fourth proportional to 156,944,978,999.80, 235,417,468,499.70 and 156,944,978,999.80 is: 235,417,468,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,944,978,999.80 : 235,417,468,499.70 = 156,944,978,999.80 : x
  2. Step 2: Convert to fraction form
    156,944,978,999.80/235,417,468,499.70 = 156,944,978,999.80/x
  3. Step 3: Cross multiply
    156,944,978,999.80x = 235,417,468,499.70 × 156,944,978,999.80
  4. Step 4: Simplify right side
    156,944,978,999.80x = 36,947,589,649,871,495,233,536
  5. Step 5: Solve for x
    x = 36,947,589,649,871,495,233,536/156,944,978,999.80
  6. Step 6: Final answer
    x = 235,417,468,499.70

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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.