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Finding the Fourth Proportional to 158,774,472,005.40, 238,161,708,008.10 and 158,774,472,005.40

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Solution

The fourth proportional to 158,774,472,005.40, 238,161,708,008.10 and 158,774,472,005.40 is: 238,161,708,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,774,472,005.40 : 238,161,708,008.10 = 158,774,472,005.40 : x
  2. Step 2: Convert to fraction form
    158,774,472,005.40/238,161,708,008.10 = 158,774,472,005.40/x
  3. Step 3: Cross multiply
    158,774,472,005.40x = 238,161,708,008.10 × 158,774,472,005.40
  4. Step 4: Simplify right side
    158,774,472,005.40x = 37,813,999,440,890,324,582,400
  5. Step 5: Solve for x
    x = 37,813,999,440,890,324,582,400/158,774,472,005.40
  6. Step 6: Final answer
    x = 238,161,708,008.10

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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.