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Finding the Fourth Proportional to 347,681,914,200.30, 521,522,871,300.44 and 347,681,914,200.30

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Solution

The fourth proportional to 347,681,914,200.30, 521,522,871,300.44 and 347,681,914,200.30 is: 521,522,871,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,681,914,200.30 : 521,522,871,300.44 = 347,681,914,200.30 : x
  2. Step 2: Convert to fraction form
    347,681,914,200.30/521,522,871,300.44 = 347,681,914,200.30/x
  3. Step 3: Cross multiply
    347,681,914,200.30x = 521,522,871,300.44 × 347,681,914,200.30
  4. Step 4: Simplify right side
    347,681,914,200.30x = 181,324,070,192,973,686,505,472
  5. Step 5: Solve for x
    x = 181,324,070,192,973,686,505,472/347,681,914,200.30
  6. Step 6: Final answer
    x = 521,522,871,300.44

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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.