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Finding the Fourth Proportional to 412,066,656,003.40, 618,099,984,005.13 and 412,066,656,003.40

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Solution

The fourth proportional to 412,066,656,003.40, 618,099,984,005.13 and 412,066,656,003.40 is: 618,099,984,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,066,656,003.40 : 618,099,984,005.13 = 412,066,656,003.40 : x
  2. Step 2: Convert to fraction form
    412,066,656,003.40/618,099,984,005.13 = 412,066,656,003.40/x
  3. Step 3: Cross multiply
    412,066,656,003.40x = 618,099,984,005.13 × 412,066,656,003.40
  4. Step 4: Simplify right side
    412,066,656,003.40x = 254,698,393,484,748,965,019,648
  5. Step 5: Solve for x
    x = 254,698,393,484,748,965,019,648/412,066,656,003.40
  6. Step 6: Final answer
    x = 618,099,984,005.13

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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.