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Finding the Fourth Proportional to 448,486,543.10, 672,729,814.65 and 448,486,543.10

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Solution

The fourth proportional to 448,486,543.10, 672,729,814.65 and 448,486,543.10 is: 672,729,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,486,543.10 : 672,729,814.65 = 448,486,543.10 : x
  2. Step 2: Convert to fraction form
    448,486,543.10/672,729,814.65 = 448,486,543.10/x
  3. Step 3: Cross multiply
    448,486,543.10x = 672,729,814.65 × 448,486,543.10
  4. Step 4: Simplify right side
    448,486,543.10x = 301,710,269,012,682,240
  5. Step 5: Solve for x
    x = 301,710,269,012,682,240/448,486,543.10
  6. Step 6: Final answer
    x = 672,729,814.65

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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.