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Finding the Fourth Proportional to 549,641,967.82, 824,462,426.85 and 140,697,462.22

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Solution

The fourth proportional to 549,641,967.82, 824,462,426.85 and 140,697,462.22 is: 211,046,058.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,641,967.82 : 824,462,426.85 = 140,697,462.22 : x
  2. Step 2: Convert to fraction form
    549,641,967.82/824,462,426.85 = 140,697,462.22/x
  3. Step 3: Cross multiply
    549,641,967.82x = 824,462,426.85 × 140,697,462.22
  4. Step 4: Simplify right side
    549,641,967.82x = 115,999,771,150,950,016
  5. Step 5: Solve for x
    x = 115,999,771,150,950,016/549,641,967.82
  6. Step 6: Final answer
    x = 211,046,058.97

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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.