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Finding the Fourth Proportional to 784,512,019.60, 1,176,768,029.40 and 512,414,227.60

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Solution

The fourth proportional to 784,512,019.60, 1,176,768,029.40 and 512,414,227.60 is: 768,621,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,512,019.60 : 1,176,768,029.40 = 512,414,227.60 : x
  2. Step 2: Convert to fraction form
    784,512,019.60/1,176,768,029.40 = 512,414,227.60/x
  3. Step 3: Cross multiply
    784,512,019.60x = 1,176,768,029.40 × 512,414,227.60
  4. Step 4: Simplify right side
    784,512,019.60x = 602,992,680,849,375,232
  5. Step 5: Solve for x
    x = 602,992,680,849,375,232/784,512,019.60
  6. Step 6: Final answer
    x = 768,621,341.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.