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Finding the Fourth Proportional to 495,699,595.61, 743,391,643.14 and 163,644,778.98

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Solution

The fourth proportional to 495,699,595.61, 743,391,643.14 and 163,644,778.98 is: 245,415,090.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,699,595.61 : 743,391,643.14 = 163,644,778.98 : x
  2. Step 2: Convert to fraction form
    495,699,595.61/743,391,643.14 = 163,644,778.98/x
  3. Step 3: Cross multiply
    495,699,595.61x = 743,391,643.14 × 163,644,778.98
  4. Step 4: Simplify right side
    495,699,595.61x = 121,652,161,137,224,320
  5. Step 5: Solve for x
    x = 121,652,161,137,224,320/495,699,595.61
  6. Step 6: Final answer
    x = 245,415,090.54

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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.