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Finding the Fourth Proportional to 1,195,853,781.60, 1,793,780,672.40 and 670,683,785.40

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Solution

The fourth proportional to 1,195,853,781.60, 1,793,780,672.40 and 670,683,785.40 is: 1,006,025,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195,853,781.60 : 1,793,780,672.40 = 670,683,785.40 : x
  2. Step 2: Convert to fraction form
    1,195,853,781.60/1,793,780,672.40 = 670,683,785.40/x
  3. Step 3: Cross multiply
    1,195,853,781.60x = 1,793,780,672.40 × 670,683,785.40
  4. Step 4: Simplify right side
    1,195,853,781.60x = 1,203,059,611,542,589,440
  5. Step 5: Solve for x
    x = 1,203,059,611,542,589,440/1,195,853,781.60
  6. Step 6: Final answer
    x = 1,006,025,678.10

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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.