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Finding the Fourth Proportional to 292,780,494,018.20, 439,170,741,027.30 and 292,780,494,018.20

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Solution

The fourth proportional to 292,780,494,018.20, 439,170,741,027.30 and 292,780,494,018.20 is: 439,170,741,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,780,494,018.20 : 439,170,741,027.30 = 292,780,494,018.20 : x
  2. Step 2: Convert to fraction form
    292,780,494,018.20/439,170,741,027.30 = 292,780,494,018.20/x
  3. Step 3: Cross multiply
    292,780,494,018.20x = 439,170,741,027.30 × 292,780,494,018.20
  4. Step 4: Simplify right side
    292,780,494,018.20x = 128,580,626,516,311,877,353,472
  5. Step 5: Solve for x
    x = 128,580,626,516,311,877,353,472/292,780,494,018.20
  6. Step 6: Final answer
    x = 439,170,741,027.30

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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.