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Finding the Fourth Proportional to 158,774,472,006.15, 238,161,708,009.22 and 158,774,472,006.15

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Solution

The fourth proportional to 158,774,472,006.15, 238,161,708,009.22 and 158,774,472,006.15 is: 238,161,708,009.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,774,472,006.15 : 238,161,708,009.22 = 158,774,472,006.15 : x
  2. Step 2: Convert to fraction form
    158,774,472,006.15/238,161,708,009.22 = 158,774,472,006.15/x
  3. Step 3: Cross multiply
    158,774,472,006.15x = 238,161,708,009.22 × 158,774,472,006.15
  4. Step 4: Simplify right side
    158,774,472,006.15x = 37,813,999,441,246,773,313,536
  5. Step 5: Solve for x
    x = 37,813,999,441,246,773,313,536/158,774,472,006.15
  6. Step 6: Final answer
    x = 238,161,708,009.22

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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.