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Finding the Fourth Proportional to 1,034,807,731.02, 1,428,040,470.87 and 588,771,084.83

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Solution

The fourth proportional to 1,034,807,731.02, 1,428,040,470.87 and 588,771,084.83 is: 812,507,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,807,731.02 : 1,428,040,470.87 = 588,771,084.83 : x
  2. Step 2: Convert to fraction form
    1,034,807,731.02/1,428,040,470.87 = 588,771,084.83/x
  3. Step 3: Cross multiply
    1,034,807,731.02x = 1,428,040,470.87 × 588,771,084.83
  4. Step 4: Simplify right side
    1,034,807,731.02x = 840,788,937,208,133,760
  5. Step 5: Solve for x
    x = 840,788,937,208,133,760/1,034,807,731.02
  6. Step 6: Final answer
    x = 812,507,398.24

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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.