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Finding the Fourth Proportional to 672,078,312.85, 1,008,117,469.28 and 672,078,312.85

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Solution

The fourth proportional to 672,078,312.85, 1,008,117,469.28 and 672,078,312.85 is: 1,008,117,469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,078,312.85 : 1,008,117,469.28 = 672,078,312.85 : x
  2. Step 2: Convert to fraction form
    672,078,312.85/1,008,117,469.28 = 672,078,312.85/x
  3. Step 3: Cross multiply
    672,078,312.85x = 1,008,117,469.28 × 672,078,312.85
  4. Step 4: Simplify right side
    672,078,312.85x = 677,533,887,904,953,728
  5. Step 5: Solve for x
    x = 677,533,887,904,953,728/672,078,312.85
  6. Step 6: Final answer
    x = 1,008,117,469.28

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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.