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Finding the Fourth Proportional to 364,470,778.04, 502,969,348.74 and 205,734,313.14

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Solution

The fourth proportional to 364,470,778.04, 502,969,348.74 and 205,734,313.14 is: 283,913,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,470,778.04 : 502,969,348.74 = 205,734,313.14 : x
  2. Step 2: Convert to fraction form
    364,470,778.04/502,969,348.74 = 205,734,313.14/x
  3. Step 3: Cross multiply
    364,470,778.04x = 502,969,348.74 × 205,734,313.14
  4. Step 4: Simplify right side
    364,470,778.04x = 103,478,053,493,497,024
  5. Step 5: Solve for x
    x = 103,478,053,493,497,024/364,470,778.04
  6. Step 6: Final answer
    x = 283,913,168.70

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