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Finding the Fourth Proportional to 560,368,445.60, 838,285,186.80 and 492,343,997.60

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Solution

The fourth proportional to 560,368,445.60, 838,285,186.80 and 492,343,997.60 is: 736,523,769.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,368,445.60 : 838,285,186.80 = 492,343,997.60 : x
  2. Step 2: Convert to fraction form
    560,368,445.60/838,285,186.80 = 492,343,997.60/x
  3. Step 3: Cross multiply
    560,368,445.60x = 838,285,186.80 × 492,343,997.60
  4. Step 4: Simplify right side
    560,368,445.60x = 412,724,679,997,974,720
  5. Step 5: Solve for x
    x = 412,724,679,997,974,720/560,368,445.60
  6. Step 6: Final answer
    x = 736,523,769.74

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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.