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Finding the Fourth Proportional to 552,077,978.40, 827,413,628.40 and 293,417,114.40

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Solution

The fourth proportional to 552,077,978.40, 827,413,628.40 and 293,417,114.40 is: 439,751,862.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,077,978.40 : 827,413,628.40 = 293,417,114.40 : x
  2. Step 2: Convert to fraction form
    552,077,978.40/827,413,628.40 = 293,417,114.40/x
  3. Step 3: Cross multiply
    552,077,978.40x = 827,413,628.40 × 293,417,114.40
  4. Step 4: Simplify right side
    552,077,978.40x = 242,777,319,260,361,856
  5. Step 5: Solve for x
    x = 242,777,319,260,361,856/552,077,978.40
  6. Step 6: Final answer
    x = 439,751,862.52

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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.