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Finding the Fourth Proportional to 82,038,672.70, 123,058,009.05 and 82,038,672.70

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Solution

The fourth proportional to 82,038,672.70, 123,058,009.05 and 82,038,672.70 is: 123,058,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,038,672.70 : 123,058,009.05 = 82,038,672.70 : x
  2. Step 2: Convert to fraction form
    82,038,672.70/123,058,009.05 = 82,038,672.70/x
  3. Step 3: Cross multiply
    82,038,672.70x = 123,058,009.05 × 82,038,672.70
  4. Step 4: Simplify right side
    82,038,672.70x = 10,095,515,727,566,588
  5. Step 5: Solve for x
    x = 10,095,515,727,566,588/82,038,672.70
  6. Step 6: Final answer
    x = 123,058,009.05

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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.