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Finding the Fourth Proportional to 257,446,881.60, 355,225,869.60 and 144,420,129.60

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Solution

The fourth proportional to 257,446,881.60, 355,225,869.60 and 144,420,129.60 is: 199,271,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,446,881.60 : 355,225,869.60 = 144,420,129.60 : x
  2. Step 2: Convert to fraction form
    257,446,881.60/355,225,869.60 = 144,420,129.60/x
  3. Step 3: Cross multiply
    257,446,881.60x = 355,225,869.60 × 144,420,129.60
  4. Step 4: Simplify right side
    257,446,881.60x = 51,301,766,124,904,704
  5. Step 5: Solve for x
    x = 51,301,766,124,904,704/257,446,881.60
  6. Step 6: Final answer
    x = 199,271,266.39

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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.