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Finding the Fourth Proportional to 3,542,934,912.15, 5,314,402,368.23 and 3,542,934,912.15

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Solution

The fourth proportional to 3,542,934,912.15, 5,314,402,368.23 and 3,542,934,912.15 is: 5,314,402,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542,934,912.15 : 5,314,402,368.23 = 3,542,934,912.15 : x
  2. Step 2: Convert to fraction form
    3,542,934,912.15/5,314,402,368.23 = 3,542,934,912.15/x
  3. Step 3: Cross multiply
    3,542,934,912.15x = 5,314,402,368.23 × 3,542,934,912.15
  4. Step 4: Simplify right side
    3,542,934,912.15x = 18,828,581,687,614,705,664
  5. Step 5: Solve for x
    x = 18,828,581,687,614,705,664/3,542,934,912.15
  6. Step 6: Final answer
    x = 5,314,402,368.23

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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.