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Finding the Fourth Proportional to 503,485,457.10, 755,228,185.65 and 503,485,457.10

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Solution

The fourth proportional to 503,485,457.10, 755,228,185.65 and 503,485,457.10 is: 755,228,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,485,457.10 : 755,228,185.65 = 503,485,457.10 : x
  2. Step 2: Convert to fraction form
    503,485,457.10/755,228,185.65 = 503,485,457.10/x
  3. Step 3: Cross multiply
    503,485,457.10x = 755,228,185.65 × 503,485,457.10
  4. Step 4: Simplify right side
    503,485,457.10x = 380,246,408,266,793,920
  5. Step 5: Solve for x
    x = 380,246,408,266,793,920/503,485,457.10
  6. Step 6: Final answer
    x = 755,228,185.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.