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Finding the Fourth Proportional to 472,911,303.20, 709,366,954.80 and 472,911,303.20

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Solution

The fourth proportional to 472,911,303.20, 709,366,954.80 and 472,911,303.20 is: 709,366,954.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,911,303.20 : 709,366,954.80 = 472,911,303.20 : x
  2. Step 2: Convert to fraction form
    472,911,303.20/709,366,954.80 = 472,911,303.20/x
  3. Step 3: Cross multiply
    472,911,303.20x = 709,366,954.80 × 472,911,303.20
  4. Step 4: Simplify right side
    472,911,303.20x = 335,467,651,041,483,456
  5. Step 5: Solve for x
    x = 335,467,651,041,483,456/472,911,303.20
  6. Step 6: Final answer
    x = 709,366,954.80

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Why These Related Problems?

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