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Finding the Fourth Proportional to 403,623,003.70, 565,454,842.70 and 403,623,003.70

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Solution

The fourth proportional to 403,623,003.70, 565,454,842.70 and 403,623,003.70 is: 565,454,842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,623,003.70 : 565,454,842.70 = 403,623,003.70 : x
  2. Step 2: Convert to fraction form
    403,623,003.70/565,454,842.70 = 403,623,003.70/x
  3. Step 3: Cross multiply
    403,623,003.70x = 565,454,842.70 × 403,623,003.70
  4. Step 4: Simplify right side
    403,623,003.70x = 228,230,582,067,285,024
  5. Step 5: Solve for x
    x = 228,230,582,067,285,024/403,623,003.70
  6. Step 6: Final answer
    x = 565,454,842.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.