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Finding the Fourth Proportional to 600,606,411.60, 900,909,617.40 and 255,571,294.80

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Solution

The fourth proportional to 600,606,411.60, 900,909,617.40 and 255,571,294.80 is: 383,356,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,606,411.60 : 900,909,617.40 = 255,571,294.80 : x
  2. Step 2: Convert to fraction form
    600,606,411.60/900,909,617.40 = 255,571,294.80/x
  3. Step 3: Cross multiply
    600,606,411.60x = 900,909,617.40 × 255,571,294.80
  4. Step 4: Simplify right side
    600,606,411.60x = 230,246,637,416,690,624
  5. Step 5: Solve for x
    x = 230,246,637,416,690,624/600,606,411.60
  6. Step 6: Final answer
    x = 383,356,942.20

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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.