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Finding the Fourth Proportional to 364,470,776.04, 502,969,345.99 and 205,734,311.13

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Solution

The fourth proportional to 364,470,776.04, 502,969,345.99 and 205,734,311.13 is: 283,913,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,470,776.04 : 502,969,345.99 = 205,734,311.13 : x
  2. Step 2: Convert to fraction form
    364,470,776.04/502,969,345.99 = 205,734,311.13/x
  3. Step 3: Cross multiply
    364,470,776.04x = 502,969,345.99 × 205,734,311.13
  4. Step 4: Simplify right side
    364,470,776.04x = 103,478,051,916,759,280
  5. Step 5: Solve for x
    x = 103,478,051,916,759,280/364,470,776.04
  6. Step 6: Final answer
    x = 283,913,165.94

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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.