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Finding the Fourth Proportional to 258,701,832.32, 357,009,978.68 and 147,192,670.44

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Solution

The fourth proportional to 258,701,832.32, 357,009,978.68 and 147,192,670.44 is: 203,126,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,701,832.32 : 357,009,978.68 = 147,192,670.44 : x
  2. Step 2: Convert to fraction form
    258,701,832.32/357,009,978.68 = 147,192,670.44/x
  3. Step 3: Cross multiply
    258,701,832.32x = 357,009,978.68 × 147,192,670.44
  4. Step 4: Simplify right side
    258,701,832.32x = 52,549,252,135,636,664
  5. Step 5: Solve for x
    x = 52,549,252,135,636,664/258,701,832.32
  6. Step 6: Final answer
    x = 203,126,710.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.