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Finding the Fourth Proportional to 56,380,827.30, 78,763,097.10 and 56,380,827.30

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Solution

The fourth proportional to 56,380,827.30, 78,763,097.10 and 56,380,827.30 is: 78,763,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,380,827.30 : 78,763,097.10 = 56,380,827.30 : x
  2. Step 2: Convert to fraction form
    56,380,827.30/78,763,097.10 = 56,380,827.30/x
  3. Step 3: Cross multiply
    56,380,827.30x = 78,763,097.10 × 56,380,827.30
  4. Step 4: Simplify right side
    56,380,827.30x = 4,440,728,575,208,230.50
  5. Step 5: Solve for x
    x = 4,440,728,575,208,230.50/56,380,827.30
  6. Step 6: Final answer
    x = 78,763,097.10

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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.