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Finding the Fourth Proportional to 159,294,519,008.45, 238,941,778,512.70 and 159,294,519,008.45

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Solution

The fourth proportional to 159,294,519,008.45, 238,941,778,512.70 and 159,294,519,008.45 is: 238,941,778,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,294,519,008.45 : 238,941,778,512.70 = 159,294,519,008.45 : x
  2. Step 2: Convert to fraction form
    159,294,519,008.45/238,941,778,512.70 = 159,294,519,008.45/x
  3. Step 3: Cross multiply
    159,294,519,008.45x = 238,941,778,512.70 × 159,294,519,008.45
  4. Step 4: Simplify right side
    159,294,519,008.45x = 38,062,115,679,204,146,151,424
  5. Step 5: Solve for x
    x = 38,062,115,679,204,146,151,424/159,294,519,008.45
  6. Step 6: Final answer
    x = 238,941,778,512.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.