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Finding the Fourth Proportional to 600,683,410.80, 901,025,116.20 and 255,550,316.40

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Solution

The fourth proportional to 600,683,410.80, 901,025,116.20 and 255,550,316.40 is: 383,325,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,683,410.80 : 901,025,116.20 = 255,550,316.40 : x
  2. Step 2: Convert to fraction form
    600,683,410.80/901,025,116.20 = 255,550,316.40/x
  3. Step 3: Cross multiply
    600,683,410.80x = 901,025,116.20 × 255,550,316.40
  4. Step 4: Simplify right side
    600,683,410.80x = 230,257,253,529,256,768
  5. Step 5: Solve for x
    x = 230,257,253,529,256,768/600,683,410.80
  6. Step 6: Final answer
    x = 383,325,474.60

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1.5x scale

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.