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Finding the Fourth Proportional to 328,990,848,218.10, 493,486,272,327.15 and 328,990,848,218.10

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Solution

The fourth proportional to 328,990,848,218.10, 493,486,272,327.15 and 328,990,848,218.10 is: 493,486,272,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,990,848,218.10 : 493,486,272,327.15 = 328,990,848,218.10 : x
  2. Step 2: Convert to fraction form
    328,990,848,218.10/493,486,272,327.15 = 328,990,848,218.10/x
  3. Step 3: Cross multiply
    328,990,848,218.10x = 493,486,272,327.15 × 328,990,848,218.10
  4. Step 4: Simplify right side
    328,990,848,218.10x = 162,352,467,316,897,369,554,944
  5. Step 5: Solve for x
    x = 162,352,467,316,897,369,554,944/328,990,848,218.10
  6. Step 6: Final answer
    x = 493,486,272,327.15

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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.