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Finding the Fourth Proportional to 382,447,363.60, 573,245,892.60 and 210,047,903.20

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Solution

The fourth proportional to 382,447,363.60, 573,245,892.60 and 210,047,903.20 is: 314,838,352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,447,363.60 : 573,245,892.60 = 210,047,903.20 : x
  2. Step 2: Convert to fraction form
    382,447,363.60/573,245,892.60 = 210,047,903.20/x
  3. Step 3: Cross multiply
    382,447,363.60x = 573,245,892.60 × 210,047,903.20
  4. Step 4: Simplify right side
    382,447,363.60x = 120,409,097,758,642,400
  5. Step 5: Solve for x
    x = 120,409,097,758,642,400/382,447,363.60
  6. Step 6: Final answer
    x = 314,838,352.20

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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.