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Finding the Fourth Proportional to 3,648,803,684.88, 5,472,652,518.42 and 993,066,714.09

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Solution

The fourth proportional to 3,648,803,684.88, 5,472,652,518.42 and 993,066,714.09 is: 1,489,449,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648,803,684.88 : 5,472,652,518.42 = 993,066,714.09 : x
  2. Step 2: Convert to fraction form
    3,648,803,684.88/5,472,652,518.42 = 993,066,714.09/x
  3. Step 3: Cross multiply
    3,648,803,684.88x = 5,472,652,518.42 × 993,066,714.09
  4. Step 4: Simplify right side
    3,648,803,684.88x = 5,434,709,053,796,349,952
  5. Step 5: Solve for x
    x = 5,434,709,053,796,349,952/3,648,803,684.88
  6. Step 6: Final answer
    x = 1,489,449,562.97

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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.