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Finding the Fourth Proportional to 472,911,314.70, 709,366,972.05 and 472,911,314.70

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Solution

The fourth proportional to 472,911,314.70, 709,366,972.05 and 472,911,314.70 is: 709,366,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,911,314.70 : 709,366,972.05 = 472,911,314.70 : x
  2. Step 2: Convert to fraction form
    472,911,314.70/709,366,972.05 = 472,911,314.70/x
  3. Step 3: Cross multiply
    472,911,314.70x = 709,366,972.05 × 472,911,314.70
  4. Step 4: Simplify right side
    472,911,314.70x = 335,467,667,356,923,648
  5. Step 5: Solve for x
    x = 335,467,667,356,923,648/472,911,314.70
  6. Step 6: Final answer
    x = 709,366,972.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.