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Finding the Fourth Proportional to 347,681,926,015.30, 521,522,889,023.15 and 347,681,926,015.30

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Solution

The fourth proportional to 347,681,926,015.30, 521,522,889,023.15 and 347,681,926,015.30 is: 521,522,889,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,681,926,015.30 : 521,522,889,023.15 = 347,681,926,015.30 : x
  2. Step 2: Convert to fraction form
    347,681,926,015.30/521,522,889,023.15 = 347,681,926,015.30/x
  3. Step 3: Cross multiply
    347,681,926,015.30x = 521,522,889,023.15 × 347,681,926,015.30
  4. Step 4: Simplify right side
    347,681,926,015.30x = 181,324,082,516,632,367,267,840
  5. Step 5: Solve for x
    x = 181,324,082,516,632,367,267,840/347,681,926,015.30
  6. Step 6: Final answer
    x = 521,522,889,023.15

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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.