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Finding the Fourth Proportional to 397,281,088,086.40, 595,921,632,129.60 and 397,281,088,086.40

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Solution

The fourth proportional to 397,281,088,086.40, 595,921,632,129.60 and 397,281,088,086.40 is: 595,921,632,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,281,088,086.40 : 595,921,632,129.60 = 397,281,088,086.40 : x
  2. Step 2: Convert to fraction form
    397,281,088,086.40/595,921,632,129.60 = 397,281,088,086.40/x
  3. Step 3: Cross multiply
    397,281,088,086.40x = 595,921,632,129.60 × 397,281,088,086.40
  4. Step 4: Simplify right side
    397,281,088,086.40x = 236,748,394,426,670,889,566,208
  5. Step 5: Solve for x
    x = 236,748,394,426,670,889,566,208/397,281,088,086.40
  6. Step 6: Final answer
    x = 595,921,632,129.60

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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.