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Finding the Fourth Proportional to 322,592,545,859.60, 482,959,009,615.80 and 322,592,545,859.60

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Solution

The fourth proportional to 322,592,545,859.60, 482,959,009,615.80 and 322,592,545,859.60 is: 482,959,009,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,592,545,859.60 : 482,959,009,615.80 = 322,592,545,859.60 : x
  2. Step 2: Convert to fraction form
    322,592,545,859.60/482,959,009,615.80 = 322,592,545,859.60/x
  3. Step 3: Cross multiply
    322,592,545,859.60x = 482,959,009,615.80 × 322,592,545,859.60
  4. Step 4: Simplify right side
    322,592,545,859.60x = 155,798,976,457,791,951,077,376
  5. Step 5: Solve for x
    x = 155,798,976,457,791,951,077,376/322,592,545,859.60
  6. Step 6: Final answer
    x = 482,959,009,615.80

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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.