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Finding the Fourth Proportional to 10,456,145,998.20, 14,675,337,599.40 and 10,456,145,998.20

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Solution

The fourth proportional to 10,456,145,998.20, 14,675,337,599.40 and 10,456,145,998.20 is: 14,675,337,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456,145,998.20 : 14,675,337,599.40 = 10,456,145,998.20 : x
  2. Step 2: Convert to fraction form
    10,456,145,998.20/14,675,337,599.40 = 10,456,145,998.20/x
  3. Step 3: Cross multiply
    10,456,145,998.20x = 14,675,337,599.40 × 10,456,145,998.20
  4. Step 4: Simplify right side
    10,456,145,998.20x = 153,447,472,512,200,310,784
  5. Step 5: Solve for x
    x = 153,447,472,512,200,310,784/10,456,145,998.20
  6. Step 6: Final answer
    x = 14,675,337,599.40

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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.