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Finding the Fourth Proportional to 55,314,165.30, 82,811,815.65 and 55,314,165.30

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Solution

The fourth proportional to 55,314,165.30, 82,811,815.65 and 55,314,165.30 is: 82,811,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,314,165.30 : 82,811,815.65 = 55,314,165.30 : x
  2. Step 2: Convert to fraction form
    55,314,165.30/82,811,815.65 = 55,314,165.30/x
  3. Step 3: Cross multiply
    55,314,165.30x = 82,811,815.65 × 55,314,165.30
  4. Step 4: Simplify right side
    55,314,165.30x = 4,580,666,459,657,227
  5. Step 5: Solve for x
    x = 4,580,666,459,657,227/55,314,165.30
  6. Step 6: Final answer
    x = 82,811,815.65

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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.