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Finding the Fourth Proportional to 414,243,800.94, 571,871,374.47 and 302,609,289.90

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Solution

The fourth proportional to 414,243,800.94, 571,871,374.47 and 302,609,289.90 is: 417,757,828.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,243,800.94 : 571,871,374.47 = 302,609,289.90 : x
  2. Step 2: Convert to fraction form
    414,243,800.94/571,871,374.47 = 302,609,289.90/x
  3. Step 3: Cross multiply
    414,243,800.94x = 571,871,374.47 × 302,609,289.90
  4. Step 4: Simplify right side
    414,243,800.94x = 173,053,590,542,503,680
  5. Step 5: Solve for x
    x = 173,053,590,542,503,680/414,243,800.94
  6. Step 6: Final answer
    x = 417,757,828.00

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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.