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Finding the Fourth Proportional to 519,513,125,978.15, 778,724,191,475 and 174,794,451,335.23

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Solution

The fourth proportional to 519,513,125,978.15, 778,724,191,475 and 174,794,451,335.23 is: 262,008,139,898.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,513,125,978.15 : 778,724,191,475 = 174,794,451,335.23 : x
  2. Step 2: Convert to fraction form
    519,513,125,978.15/778,724,191,475 = 174,794,451,335.23/x
  3. Step 3: Cross multiply
    519,513,125,978.15x = 778,724,191,475 × 174,794,451,335.23
  4. Step 4: Simplify right side
    519,513,125,978.15x = 136,116,667,790,343,230,455,808
  5. Step 5: Solve for x
    x = 136,116,667,790,343,230,455,808/519,513,125,978.15
  6. Step 6: Final answer
    x = 262,008,139,898.41

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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.