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Finding the Fourth Proportional to 708,695,739.96, 978,002,824.86 and 395,443,156.92

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Solution

The fourth proportional to 708,695,739.96, 978,002,824.86 and 395,443,156.92 is: 545,713,065.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,695,739.96 : 978,002,824.86 = 395,443,156.92 : x
  2. Step 2: Convert to fraction form
    708,695,739.96/978,002,824.86 = 395,443,156.92/x
  3. Step 3: Cross multiply
    708,695,739.96x = 978,002,824.86 × 395,443,156.92
  4. Step 4: Simplify right side
    708,695,739.96x = 386,744,524,539,316,288
  5. Step 5: Solve for x
    x = 386,744,524,539,316,288/708,695,739.96
  6. Step 6: Final answer
    x = 545,713,065.19

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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.