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Finding the Fourth Proportional to 7,797,432,646.80, 11,696,148,970.20 and 7,797,432,646.80

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Solution

The fourth proportional to 7,797,432,646.80, 11,696,148,970.20 and 7,797,432,646.80 is: 11,696,148,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797,432,646.80 : 11,696,148,970.20 = 7,797,432,646.80 : x
  2. Step 2: Convert to fraction form
    7,797,432,646.80/11,696,148,970.20 = 7,797,432,646.80/x
  3. Step 3: Cross multiply
    7,797,432,646.80x = 11,696,148,970.20 × 7,797,432,646.80
  4. Step 4: Simplify right side
    7,797,432,646.80x = 91,199,933,822,073,683,968
  5. Step 5: Solve for x
    x = 91,199,933,822,073,683,968/7,797,432,646.80
  6. Step 6: Final answer
    x = 11,696,148,970.20

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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.