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Finding the Fourth Proportional to 227,782,656,032.40, 341,673,984,048.60 and 227,782,656,032.40

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Solution

The fourth proportional to 227,782,656,032.40, 341,673,984,048.60 and 227,782,656,032.40 is: 341,673,984,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,782,656,032.40 : 341,673,984,048.60 = 227,782,656,032.40 : x
  2. Step 2: Convert to fraction form
    227,782,656,032.40/341,673,984,048.60 = 227,782,656,032.40/x
  3. Step 3: Cross multiply
    227,782,656,032.40x = 341,673,984,048.60 × 227,782,656,032.40
  4. Step 4: Simplify right side
    227,782,656,032.40x = 77,827,407,583,761,976,524,800
  5. Step 5: Solve for x
    x = 77,827,407,583,761,976,524,800/227,782,656,032.40
  6. Step 6: Final answer
    x = 341,673,984,048.60

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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.