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Finding the Fourth Proportional to 274,158,001.60, 411,237,002.40 and 261,403,417.60

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Solution

The fourth proportional to 274,158,001.60, 411,237,002.40 and 261,403,417.60 is: 392,105,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,158,001.60 : 411,237,002.40 = 261,403,417.60 : x
  2. Step 2: Convert to fraction form
    274,158,001.60/411,237,002.40 = 261,403,417.60/x
  3. Step 3: Cross multiply
    274,158,001.60x = 411,237,002.40 × 261,403,417.60
  4. Step 4: Simplify right side
    274,158,001.60x = 107,498,757,870,939,392
  5. Step 5: Solve for x
    x = 107,498,757,870,939,392/274,158,001.60
  6. Step 6: Final answer
    x = 392,105,126.40

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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.