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Finding the Fourth Proportional to 140,838,955,232.80, 211,258,432,849.20 and 140,838,955,232.80

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Solution

The fourth proportional to 140,838,955,232.80, 211,258,432,849.20 and 140,838,955,232.80 is: 211,258,432,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,838,955,232.80 : 211,258,432,849.20 = 140,838,955,232.80 : x
  2. Step 2: Convert to fraction form
    140,838,955,232.80/211,258,432,849.20 = 140,838,955,232.80/x
  3. Step 3: Cross multiply
    140,838,955,232.80x = 211,258,432,849.20 × 140,838,955,232.80
  4. Step 4: Simplify right side
    140,838,955,232.80x = 29,753,416,966,599,962,787,840
  5. Step 5: Solve for x
    x = 29,753,416,966,599,962,787,840/140,838,955,232.80
  6. Step 6: Final answer
    x = 211,258,432,849.20

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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.