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Finding the Fourth Proportional to 484,842,648.42, 727,263,978.75 and 116,377,599.78

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Solution

The fourth proportional to 484,842,648.42, 727,263,978.75 and 116,377,599.78 is: 174,566,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,842,648.42 : 727,263,978.75 = 116,377,599.78 : x
  2. Step 2: Convert to fraction form
    484,842,648.42/727,263,978.75 = 116,377,599.78/x
  3. Step 3: Cross multiply
    484,842,648.42x = 727,263,978.75 × 116,377,599.78
  4. Step 4: Simplify right side
    484,842,648.42x = 84,637,236,253,377,920
  5. Step 5: Solve for x
    x = 84,637,236,253,377,920/484,842,648.42
  6. Step 6: Final answer
    x = 174,566,401.14

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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.