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Finding the Fourth Proportional to 7,797,432,641.30, 11,696,148,961.95 and 7,797,432,641.30

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Solution

The fourth proportional to 7,797,432,641.30, 11,696,148,961.95 and 7,797,432,641.30 is: 11,696,148,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797,432,641.30 : 11,696,148,961.95 = 7,797,432,641.30 : x
  2. Step 2: Convert to fraction form
    7,797,432,641.30/11,696,148,961.95 = 7,797,432,641.30/x
  3. Step 3: Cross multiply
    7,797,432,641.30x = 11,696,148,961.95 × 7,797,432,641.30
  4. Step 4: Simplify right side
    7,797,432,641.30x = 91,199,933,693,416,046,592
  5. Step 5: Solve for x
    x = 91,199,933,693,416,046,592/7,797,432,641.30
  6. Step 6: Final answer
    x = 11,696,148,961.95

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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.