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Finding the Fourth Proportional to 653,260,097,980.20, 979,890,146,970.30 and 653,260,097,980.20

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Solution

The fourth proportional to 653,260,097,980.20, 979,890,146,970.30 and 653,260,097,980.20 is: 979,890,146,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,260,097,980.20 : 979,890,146,970.30 = 653,260,097,980.20 : x
  2. Step 2: Convert to fraction form
    653,260,097,980.20/979,890,146,970.30 = 653,260,097,980.20/x
  3. Step 3: Cross multiply
    653,260,097,980.20x = 979,890,146,970.30 × 653,260,097,980.20
  4. Step 4: Simplify right side
    653,260,097,980.20x = 640,123,133,419,650,782,593,024
  5. Step 5: Solve for x
    x = 640,123,133,419,650,782,593,024/653,260,097,980.20
  6. Step 6: Final answer
    x = 979,890,146,970.30

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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.