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Finding the Fourth Proportional to 159,460,364,057.30, 239,190,546,085.95 and 159,460,364,057.30

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Solution

The fourth proportional to 159,460,364,057.30, 239,190,546,085.95 and 159,460,364,057.30 is: 239,190,546,085.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,460,364,057.30 : 239,190,546,085.95 = 159,460,364,057.30 : x
  2. Step 2: Convert to fraction form
    159,460,364,057.30/239,190,546,085.95 = 159,460,364,057.30/x
  3. Step 3: Cross multiply
    159,460,364,057.30x = 239,190,546,085.95 × 159,460,364,057.30
  4. Step 4: Simplify right side
    159,460,364,057.30x = 38,141,411,557,929,983,672,320
  5. Step 5: Solve for x
    x = 38,141,411,557,929,983,672,320/159,460,364,057.30
  6. Step 6: Final answer
    x = 239,190,546,085.95

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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.