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Finding the Fourth Proportional to 549,781,606.60, 824,672,409.90 and 494,299,166.20

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Solution

The fourth proportional to 549,781,606.60, 824,672,409.90 and 494,299,166.20 is: 741,448,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,781,606.60 : 824,672,409.90 = 494,299,166.20 : x
  2. Step 2: Convert to fraction form
    549,781,606.60/824,672,409.90 = 494,299,166.20/x
  3. Step 3: Cross multiply
    549,781,606.60x = 824,672,409.90 × 494,299,166.20
  4. Step 4: Simplify right side
    549,781,606.60x = 407,634,884,601,714,624
  5. Step 5: Solve for x
    x = 407,634,884,601,714,624/549,781,606.60
  6. Step 6: Final answer
    x = 741,448,749.30

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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.