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Finding the Fourth Proportional to 560,097,936.95, 840,146,905.43 and 560,097,936.95

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Solution

The fourth proportional to 560,097,936.95, 840,146,905.43 and 560,097,936.95 is: 840,146,905.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,097,936.95 : 840,146,905.43 = 560,097,936.95 : x
  2. Step 2: Convert to fraction form
    560,097,936.95/840,146,905.43 = 560,097,936.95/x
  3. Step 3: Cross multiply
    560,097,936.95x = 840,146,905.43 × 560,097,936.95
  4. Step 4: Simplify right side
    560,097,936.95x = 470,564,548,466,269,760
  5. Step 5: Solve for x
    x = 470,564,548,466,269,760/560,097,936.95
  6. Step 6: Final answer
    x = 840,146,905.43

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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.