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Finding the Fourth Proportional to 15,684,193,869.30, 22,012,971,219.90 and 15,684,193,869.30

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Solution

The fourth proportional to 15,684,193,869.30, 22,012,971,219.90 and 15,684,193,869.30 is: 22,012,971,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684,193,869.30 : 22,012,971,219.90 = 15,684,193,869.30 : x
  2. Step 2: Convert to fraction form
    15,684,193,869.30/22,012,971,219.90 = 15,684,193,869.30/x
  3. Step 3: Cross multiply
    15,684,193,869.30x = 22,012,971,219.90 × 15,684,193,869.30
  4. Step 4: Simplify right side
    15,684,193,869.30x = 345,255,708,252,232,941,568
  5. Step 5: Solve for x
    x = 345,255,708,252,232,941,568/15,684,193,869.30
  6. Step 6: Final answer
    x = 22,012,971,219.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.