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Finding the Fourth Proportional to 364,470,773.04, 502,969,341.85 and 205,734,308.13

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Solution

The fourth proportional to 364,470,773.04, 502,969,341.85 and 205,734,308.13 is: 283,913,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,470,773.04 : 502,969,341.85 = 205,734,308.13 : x
  2. Step 2: Convert to fraction form
    364,470,773.04/502,969,341.85 = 205,734,308.13/x
  3. Step 3: Cross multiply
    364,470,773.04x = 502,969,341.85 × 205,734,308.13
  4. Step 4: Simplify right side
    364,470,773.04x = 103,478,049,555,596,864
  5. Step 5: Solve for x
    x = 103,478,049,555,596,864/364,470,773.04
  6. Step 6: Final answer
    x = 283,913,161.79

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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.