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Finding the Fourth Proportional to 158,782,761,036.53, 238,174,141,554.78 and 158,782,761,036.53

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Solution

The fourth proportional to 158,782,761,036.53, 238,174,141,554.78 and 158,782,761,036.53 is: 238,174,141,554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,782,761,036.53 : 238,174,141,554.78 = 158,782,761,036.53 : x
  2. Step 2: Convert to fraction form
    158,782,761,036.53/238,174,141,554.78 = 158,782,761,036.53/x
  3. Step 3: Cross multiply
    158,782,761,036.53x = 238,174,141,554.78 × 158,782,761,036.53
  4. Step 4: Simplify right side
    158,782,761,036.53x = 37,817,947,803,573,305,737,216
  5. Step 5: Solve for x
    x = 37,817,947,803,573,305,737,216/158,782,761,036.53
  6. Step 6: Final answer
    x = 238,174,141,554.78

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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.