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Finding the Fourth Proportional to 744,662,141.16, 1,027,640,894.10 and 410,142,247.56

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Solution

The fourth proportional to 744,662,141.16, 1,027,640,894.10 and 410,142,247.56 is: 566,000,233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,662,141.16 : 1,027,640,894.10 = 410,142,247.56 : x
  2. Step 2: Convert to fraction form
    744,662,141.16/1,027,640,894.10 = 410,142,247.56/x
  3. Step 3: Cross multiply
    744,662,141.16x = 1,027,640,894.10 × 410,142,247.56
  4. Step 4: Simplify right side
    744,662,141.16x = 421,478,945,990,741,952
  5. Step 5: Solve for x
    x = 421,478,945,990,741,952/744,662,141.16
  6. Step 6: Final answer
    x = 566,000,233.79

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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.