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Finding the Fourth Proportional to 704,928,951.12, 972,828,206.28 and 422,717,338.74

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Solution

The fourth proportional to 704,928,951.12, 972,828,206.28 and 422,717,338.74 is: 583,365,670.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,928,951.12 : 972,828,206.28 = 422,717,338.74 : x
  2. Step 2: Convert to fraction form
    704,928,951.12/972,828,206.28 = 422,717,338.74/x
  3. Step 3: Cross multiply
    704,928,951.12x = 972,828,206.28 × 422,717,338.74
  4. Step 4: Simplify right side
    704,928,951.12x = 411,231,350,409,889,344
  5. Step 5: Solve for x
    x = 411,231,350,409,889,344/704,928,951.12
  6. Step 6: Final answer
    x = 583,365,670.76

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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.