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Finding the Fourth Proportional to 796,936,617.14, 1,100,125,181.54 and 514,816,616.07

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Solution

The fourth proportional to 796,936,617.14, 1,100,125,181.54 and 514,816,616.07 is: 710,674,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,936,617.14 : 1,100,125,181.54 = 514,816,616.07 : x
  2. Step 2: Convert to fraction form
    796,936,617.14/1,100,125,181.54 = 514,816,616.07/x
  3. Step 3: Cross multiply
    796,936,617.14x = 1,100,125,181.54 × 514,816,616.07
  4. Step 4: Simplify right side
    796,936,617.14x = 566,362,723,215,104,256
  5. Step 5: Solve for x
    x = 566,362,723,215,104,256/796,936,617.14
  6. Step 6: Final answer
    x = 710,674,740.05

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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.