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Finding the Fourth Proportional to 242,013,101.68, 333,978,080.92 and 132,004,814.72

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Solution

The fourth proportional to 242,013,101.68, 333,978,080.92 and 132,004,814.72 is: 182,166,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,013,101.68 : 333,978,080.92 = 132,004,814.72 : x
  2. Step 2: Convert to fraction form
    242,013,101.68/333,978,080.92 = 132,004,814.72/x
  3. Step 3: Cross multiply
    242,013,101.68x = 333,978,080.92 × 132,004,814.72
  4. Step 4: Simplify right side
    242,013,101.68x = 44,086,714,692,385,768
  5. Step 5: Solve for x
    x = 44,086,714,692,385,768/242,013,101.68
  6. Step 6: Final answer
    x = 182,166,644.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.