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Finding the Fourth Proportional to 582,235,391,258.02, 873,353,086,887.08 and 582,235,391,258.02

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Solution

The fourth proportional to 582,235,391,258.02, 873,353,086,887.08 and 582,235,391,258.02 is: 873,353,086,887.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,235,391,258.02 : 873,353,086,887.08 = 582,235,391,258.02 : x
  2. Step 2: Convert to fraction form
    582,235,391,258.02/873,353,086,887.08 = 582,235,391,258.02/x
  3. Step 3: Cross multiply
    582,235,391,258.02x = 873,353,086,887.08 × 582,235,391,258.02
  4. Step 4: Simplify right side
    582,235,391,258.02x = 508,497,076,250,098,536,546,304
  5. Step 5: Solve for x
    x = 508,497,076,250,098,536,546,304/582,235,391,258.02
  6. Step 6: Final answer
    x = 873,353,086,887.08

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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.