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Finding the Fourth Proportional to 549,376,270.60, 824,064,405.90 and 403,017,419.20

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Solution

The fourth proportional to 549,376,270.60, 824,064,405.90 and 403,017,419.20 is: 604,526,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,376,270.60 : 824,064,405.90 = 403,017,419.20 : x
  2. Step 2: Convert to fraction form
    549,376,270.60/824,064,405.90 = 403,017,419.20/x
  3. Step 3: Cross multiply
    549,376,270.60x = 824,064,405.90 × 403,017,419.20
  4. Step 4: Simplify right side
    549,376,270.60x = 332,112,310,120,399,232
  5. Step 5: Solve for x
    x = 332,112,310,120,399,232/549,376,270.60
  6. Step 6: Final answer
    x = 604,526,128.80

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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.