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Finding the Fourth Proportional to 549,847,713.80, 824,771,570.70 and 317,395,420.40

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Solution

The fourth proportional to 549,847,713.80, 824,771,570.70 and 317,395,420.40 is: 476,093,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,847,713.80 : 824,771,570.70 = 317,395,420.40 : x
  2. Step 2: Convert to fraction form
    549,847,713.80/824,771,570.70 = 317,395,420.40/x
  3. Step 3: Cross multiply
    549,847,713.80x = 824,771,570.70 × 317,395,420.40
  4. Step 4: Simplify right side
    549,847,713.80x = 261,778,719,416,294,816
  5. Step 5: Solve for x
    x = 261,778,719,416,294,816/549,847,713.80
  6. Step 6: Final answer
    x = 476,093,130.60

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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.