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Finding the Fourth Proportional to 652,536,023.15, 978,804,034.73 and 394,547,005.55

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Solution

The fourth proportional to 652,536,023.15, 978,804,034.73 and 394,547,005.55 is: 591,820,508.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,536,023.15 : 978,804,034.73 = 394,547,005.55 : x
  2. Step 2: Convert to fraction form
    652,536,023.15/978,804,034.73 = 394,547,005.55/x
  3. Step 3: Cross multiply
    652,536,023.15x = 978,804,034.73 × 394,547,005.55
  4. Step 4: Simplify right side
    652,536,023.15x = 386,184,200,922,979,712
  5. Step 5: Solve for x
    x = 386,184,200,922,979,712/652,536,023.15
  6. Step 6: Final answer
    x = 591,820,508.33

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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.