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Finding the Fourth Proportional to 744,662,138.16, 1,027,640,889.96 and 410,142,244.56

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Solution

The fourth proportional to 744,662,138.16, 1,027,640,889.96 and 410,142,244.56 is: 566,000,229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,662,138.16 : 1,027,640,889.96 = 410,142,244.56 : x
  2. Step 2: Convert to fraction form
    744,662,138.16/1,027,640,889.96 = 410,142,244.56/x
  3. Step 3: Cross multiply
    744,662,138.16x = 1,027,640,889.96 × 410,142,244.56
  4. Step 4: Simplify right side
    744,662,138.16x = 421,478,941,209,830,400
  5. Step 5: Solve for x
    x = 421,478,941,209,830,400/744,662,138.16
  6. Step 6: Final answer
    x = 566,000,229.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.