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Finding the Fourth Proportional to 397,926,182.80, 596,322,403.80 and 293,480,311.60

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Solution

The fourth proportional to 397,926,182.80, 596,322,403.80 and 293,480,311.60 is: 439,802,386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,926,182.80 : 596,322,403.80 = 293,480,311.60 : x
  2. Step 2: Convert to fraction form
    397,926,182.80/596,322,403.80 = 293,480,311.60/x
  3. Step 3: Cross multiply
    397,926,182.80x = 596,322,403.80 × 293,480,311.60
  4. Step 4: Simplify right side
    397,926,182.80x = 175,008,884,881,285,024
  5. Step 5: Solve for x
    x = 175,008,884,881,285,024/397,926,182.80
  6. Step 6: Final answer
    x = 439,802,386.59

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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.