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Finding the Fourth Proportional to 82,459,866, 113,795,982.30 and 45,293,581.20

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Solution

The fourth proportional to 82,459,866, 113,795,982.30 and 45,293,581.20 is: 62,505,893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,459,866 : 113,795,982.30 = 45,293,581.20 : x
  2. Step 2: Convert to fraction form
    82,459,866/113,795,982.30 = 45,293,581.20/x
  3. Step 3: Cross multiply
    82,459,866x = 113,795,982.30 × 45,293,581.20
  4. Step 4: Simplify right side
    82,459,866x = 5,154,227,564,538,813
  5. Step 5: Solve for x
    x = 5,154,227,564,538,813/82,459,866
  6. Step 6: Final answer
    x = 62,505,893.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.