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Finding the Fourth Proportional to 672,651,995.10, 1,008,977,992.65 and 672,651,995.10

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Solution

The fourth proportional to 672,651,995.10, 1,008,977,992.65 and 672,651,995.10 is: 1,008,977,992.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,651,995.10 : 1,008,977,992.65 = 672,651,995.10 : x
  2. Step 2: Convert to fraction form
    672,651,995.10/1,008,977,992.65 = 672,651,995.10/x
  3. Step 3: Cross multiply
    672,651,995.10x = 1,008,977,992.65 × 672,651,995.10
  4. Step 4: Simplify right side
    672,651,995.10x = 678,691,059,768,015,616
  5. Step 5: Solve for x
    x = 678,691,059,768,015,616/672,651,995.10
  6. Step 6: Final answer
    x = 1,008,977,992.65

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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.