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Finding the Fourth Proportional to 241,671,973.20, 362,507,959.80 and 217,485,502.80

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Solution

The fourth proportional to 241,671,973.20, 362,507,959.80 and 217,485,502.80 is: 326,228,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,671,973.20 : 362,507,959.80 = 217,485,502.80 : x
  2. Step 2: Convert to fraction form
    241,671,973.20/362,507,959.80 = 217,485,502.80/x
  3. Step 3: Cross multiply
    241,671,973.20x = 362,507,959.80 × 217,485,502.80
  4. Step 4: Simplify right side
    241,671,973.20x = 78,840,225,906,105,200
  5. Step 5: Solve for x
    x = 78,840,225,906,105,200/241,671,973.20
  6. Step 6: Final answer
    x = 326,228,254.20

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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.